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All questions of Basic Geometrical Ideas for Class 6 Exam
An angle is made up of two ________ starting from common end point.- a)rays
- b)vertices
- c)lines
- d)points
Correct answer is option 'A'. Can you explain this answer?
An angle is made up of two ________ starting from common end point.
a)
rays
b)
vertices
c)
lines
d)
points
|
Priyanka Sharma answered |
Angles are made when corners are formed. When two rays have a common end point, then two rays together are said to form an angle. An angle is made up of two rays starting from a common end point. The two rays forming the angle are called the arms or sides of the angle. The common end point is the vertex of the angle.
The edge of a ruler draws _____________ .- a)ray
- b)curve
- c)line segment
- d)line
Correct answer is option 'C'. Can you explain this answer?
The edge of a ruler draws _____________ .
a)
ray
b)
curve
c)
line segment
d)
line
|
Varun Kapoor answered |
a ruler draws line segment.
How many lines can be drawn passing through a given point?- a)Two
- b)One
- c)Infinite
- d)Zero
Correct answer is option 'C'. Can you explain this answer?
How many lines can be drawn passing through a given point?
a)
Two
b)
One
c)
Infinite
d)
Zero
|
Mishthi Singhal answered |
The concurrent lines are the lines which pass through the same point . they are infinite.
Two distinct lines meeting at a point are called _______ .
- a)intersecting lines
- b)
Perpendicular lines
- c)parallel line
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Two distinct lines meeting at a point are called _______ .
a)
intersecting lines
b)
Perpendicular lines
c)
parallel line
d)
None of these
|
Lekshmi Sen answered |
**Intersecting Lines**
Intersecting lines are lines that cross or meet at a single point. This point is called the point of intersection. The two lines can be in any orientation and can intersect at any angle. Intersecting lines are characterized by the fact that they share exactly one common point.
**Explanation:**
When two lines intersect, they cross each other at a single point. This point is the point of intersection. The lines can be at any angle or orientation. The point of intersection is the only point that the two lines share.
For example, consider two lines, line A and line B. If line A and line B cross each other at a single point, then they are intersecting lines. This point of intersection is the point where the two lines meet.
**Characteristics of Intersecting Lines:**
1. They have exactly one point in common, which is the point of intersection.
2. The lines can be at any angle or orientation.
3. The point of intersection is the only point that the two lines share.
4. Intersecting lines are not parallel to each other.
**Visual Representation:**
To better understand intersecting lines, imagine drawing two lines on a piece of paper that cross each other at a single point. The point where the lines cross is the point of intersection. No other points on the two lines coincide.
**Conclusion:**
Therefore, two lines meeting at a point are called intersecting lines. They are characterized by the fact that they cross each other at a single point, known as the point of intersection.
Intersecting lines are lines that cross or meet at a single point. This point is called the point of intersection. The two lines can be in any orientation and can intersect at any angle. Intersecting lines are characterized by the fact that they share exactly one common point.
**Explanation:**
When two lines intersect, they cross each other at a single point. This point is the point of intersection. The lines can be at any angle or orientation. The point of intersection is the only point that the two lines share.
For example, consider two lines, line A and line B. If line A and line B cross each other at a single point, then they are intersecting lines. This point of intersection is the point where the two lines meet.
**Characteristics of Intersecting Lines:**
1. They have exactly one point in common, which is the point of intersection.
2. The lines can be at any angle or orientation.
3. The point of intersection is the only point that the two lines share.
4. Intersecting lines are not parallel to each other.
**Visual Representation:**
To better understand intersecting lines, imagine drawing two lines on a piece of paper that cross each other at a single point. The point where the lines cross is the point of intersection. No other points on the two lines coincide.
**Conclusion:**
Therefore, two lines meeting at a point are called intersecting lines. They are characterized by the fact that they cross each other at a single point, known as the point of intersection.
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
a)
b)
c)
d)
|
|
Meena Yadav answered |
Option 'c'
Which of these instruments are used to construct a line segment?
- a)Compasses and a scale.
- b)A divider and a protractor.
- c)Set squares and scale.
- d)A divider and compasses.
Correct answer is option 'A'. Can you explain this answer?
Which of these instruments are used to construct a line segment?
a)
Compasses and a scale.
b)
A divider and a protractor.
c)
Set squares and scale.
d)
A divider and compasses.
|
Moumita Kumar answered |
To construct a line segment, the most appropriate instruments are those that allow for accurate measurement and drawing of straight lines. Among the given options, the most suitable choice is:
1. **Compasses and a scale**: This combination allows you to measure a specific length using the scale and then draw the line segment with the compasses by marking the endpoints.
So, the correct answer is:
1. Compasses and a scale.
A __________ of a circle is a line segment joining any two points on the circle.- a)chord
- b)diameter
- c)radius
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
A __________ of a circle is a line segment joining any two points on the circle.
a)
chord
b)
diameter
c)
radius
d)
None of these
|
Abhishek Chakraborty answered |
A chord of a circle is a straight line segment whose endpoints both lie on the circle. A secant line, or just secant, is the infinite line extension of a chord. More generally, a chord is a line segment joining two points on any curve, for instance an ellipse.
What is the simplest of all geometrical figures which has no size but has a position?
- a)A line
- b)A line segment
- c)A point
- d)A plane
Correct answer is option 'C'. Can you explain this answer?
What is the simplest of all geometrical figures which has no size but has a position?
a)
A line
b)
A line segment
c)
A point
d)
A plane
|
Rajat Chatterjee answered |
Explanation:
A point is the simplest of all geometrical figures which has no size but has a position. A point is represented by a dot and is usually named using a capital letter.
Characteristics of a point:
- A point has no size or dimension. It is a zero-dimensional object.
- A point has no length, width, or height.
- A point has no shape or orientation.
- A point is represented by a dot.
Position of a point:
A point can be located on a plane or in space by using its coordinates. In a two-dimensional plane, a point is located using two coordinates - x and y. In a three-dimensional space, a point is located using three coordinates - x, y, and z. The position of a point can also be described using its distance and direction from a reference point or line.
Uses of a point:
- A point is used to define the location of other geometrical figures.
- A point is used to measure the distance between two objects.
- A point is used in geometry, physics, engineering, and other fields.
Two lines in a plane either intersect exactly at one point or are- a)perpendicular lines
- b)equidistant
- c)equal
- d)parallel
Correct answer is option 'D'. Can you explain this answer?
Two lines in a plane either intersect exactly at one point or are
a)
perpendicular lines
b)
equidistant
c)
equal
d)
parallel
|
Arjun Desai answered |
If two coplanar lines do not intersect, they are parallel. Two lines which are not coplanar cannot intersect and are called "skew" lines. Two planes which do not intersect are parallel. A line which does not lie in a plane either intersects that plane in a single point, or is parallel to the plane.
Angle which is less than 90° is called- a)reflex angle
- b)obtuse angle
- c)acute angle
- d)right angle
Correct answer is option 'C'. Can you explain this answer?
Angle which is less than 90° is called
a)
reflex angle
b)
obtuse angle
c)
acute angle
d)
right angle
|
Geetika Shah answered |
Acute angles measure less than 90 degrees
In the given figure what is point P called?
- a)Vertical point
- b)Point of concurrence
- c)Plane
- d)Point of intersection
Correct answer is option 'B'. Can you explain this answer?
In the given figure what is point P called?
a)
Vertical point
b)
Point of concurrence
c)
Plane
d)
Point of intersection
|
Shilpa Choudhury answered |
Many lines are intersecting at one point.
Point of concurrence: A point where more than two line intersects.
Point of concurrence: A point where more than two line intersects.
In the given figure, what are lines l, m and n called?
- a)Collinear lines
- b)Parallel lines
- c)Concurrent lines
- d)Intersecting lines
Correct answer is option 'C'. Can you explain this answer?
In the given figure, what are lines l, m and n called?
a)
Collinear lines
b)
Parallel lines
c)
Concurrent lines
d)
Intersecting lines
|
Rahul Kumar answered |
Concurrent lines are three or more lines meeting at a point. Intersecting lines are two lines that meet at a common point. The point at which these three lines meet each other is called as the point of concurrency. The point at which these two lines meet each other is called as the point of intersection
Angle which is less than 360° and larger than 180° is classified as- a)acute angle
- b)obtuse angle
- c)reflex angle
- d)right angle
Correct answer is option 'C'. Can you explain this answer?
Angle which is less than 360° and larger than 180° is classified as
a)
acute angle
b)
obtuse angle
c)
reflex angle
d)
right angle
|
|
Priyanka Sharma answered |
An angle which measures greater than 180 degrees but less than 360 degrees is known as a reflex angle.
What is a set of points extending infinitely in all directions on the same flat surface called?
- a)A line
- b)A plane
- c)Ray
- d)A point
Correct answer is option 'B'. Can you explain this answer?
What is a set of points extending infinitely in all directions on the same flat surface called?
a)
A line
b)
A plane
c)
Ray
d)
A point
|
Dr Manju Sen answered |
Sets of points extending infinitely in all direction on the same flat surface is a plane.
Three or more points lying on the same line are known as ___________ points.- a)collinear
- b)intersecting
- c)non-collinear
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Three or more points lying on the same line are known as ___________ points.
a)
collinear
b)
intersecting
c)
non-collinear
d)
None of these
|
Anjana Rane answered |
Three or more points P1, P2, P3, ..., are said to be collinear if they lie on a single straight line L. A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis.
Out of following, one angle which is obtuse is- a)11/21 of a right angle
- b)8/20 of a complete rotation
- c)11/21 of a complete rotation
- d)8/20 of a right angle
Correct answer is option 'B'. Can you explain this answer?
Out of following, one angle which is obtuse is
a)
11/21 of a right angle
b)
8/20 of a complete rotation
c)
11/21 of a complete rotation
d)
8/20 of a right angle
|
Anita Menon answered |
8/20 x 360 = 8 x 18 = 144 degrees which is more than 90 but less than 180
Number of lines which can be drawn from one point:- a)1
- b)2
- c)7
- d)Infinite
Correct answer is option 'B'. Can you explain this answer?
Number of lines which can be drawn from one point:
a)
1
b)
2
c)
7
d)
Infinite
|
Harshitha Mukherjee answered |
(a) Infinite number of lines can pass through a single point. (b) Only one line can pass through two given points.hence,option (d) is correct.
Which of the following statements is false?- a)Every chord of a circle is also a diameter.
- b)The centre of a circle is always in its interior.
- c)Every diameter of a circle is also a chord.
- d)Two diameters of a circle will necessarily intersect.
Correct answer is option 'A'. Can you explain this answer?
Which of the following statements is false?
a)
Every chord of a circle is also a diameter.
b)
The centre of a circle is always in its interior.
c)
Every diameter of a circle is also a chord.
d)
Two diameters of a circle will necessarily intersect.
|
|
Sanjana Mukherjee answered |
False Statement: Every chord of a circle is also a diameter.
- Understanding Chords and Diameters:
- Explanation of the False Statement:
- Counterexample:
- Conclusion:
- A chord of a circle is a line segment that connects two points on the circumference of the circle.
- A diameter of a circle is a chord that passes through the center of the circle.
The false statement suggests that every chord of a circle is also a diameter. However, this is not true. Let's understand why:
A counterexample is a specific example that disproves a statement. In this case, we can provide a counterexample where a chord is not a diameter:
Let's consider a circle with center O and two points A and B on its circumference. Segment AB is a chord of the circle.
___________O___________
/ \
/ \
/ \
/ \
A B
In this case, segment AB is a chord of the circle but it is not a diameter. The diameter of the circle would be a line segment passing through the center O and having endpoints on the circumference of the circle.
Therefore, the false statement is that every chord of a circle is also a diameter. In reality, a chord can be any line segment connecting two points on a circle, whereas a diameter is a specific chord that passes through the center of the circle.
Name the set of points which is a part of a line with two end points.- a)A line
- b)A line segment
- c)A ray
- d)A point
Correct answer is option 'B'. Can you explain this answer?
Name the set of points which is a part of a line with two end points.
a)
A line
b)
A line segment
c)
A ray
d)
A point
|
Palak Nair answered |
**Line Segment:**
A line segment is a part of a line that has two endpoints. It is a straight path between two points. The length of a line segment can be measured using a ruler or any other measuring tool.
**Explanation:**
A line is a straight path that extends infinitely in both directions. It has no endpoints. For example, if you draw a line on a piece of paper, you can extend it indefinitely in both directions.
A ray is a straight path that extends infinitely in one direction. It has one endpoint and goes on forever in the other direction. For example, if you draw a ray on a piece of paper, you can extend it infinitely in one direction but not in the other.
A point is a location in space. It has no length, width, or height. It is represented by a dot. For example, if you mark a dot on a piece of paper, it represents a point.
A line segment, on the other hand, is a part of a line that has two endpoints. It is a finite length and can be measured. For example, if you draw a line segment on a piece of paper, it has a definite length between the two endpoints.
In the context of the given question, the set of points that is a part of a line with two endpoints is a line segment. This is because a line segment is the only option that fits the description of having two endpoints and being a part of a line. A line does not have endpoints, a ray extends infinitely in one direction, and a point is a single location without any length. Only a line segment has the characteristics of being a part of a line and having two endpoints.
Therefore, the correct answer is option B - A line segment.
A line segment is a part of a line that has two endpoints. It is a straight path between two points. The length of a line segment can be measured using a ruler or any other measuring tool.
**Explanation:**
A line is a straight path that extends infinitely in both directions. It has no endpoints. For example, if you draw a line on a piece of paper, you can extend it indefinitely in both directions.
A ray is a straight path that extends infinitely in one direction. It has one endpoint and goes on forever in the other direction. For example, if you draw a ray on a piece of paper, you can extend it infinitely in one direction but not in the other.
A point is a location in space. It has no length, width, or height. It is represented by a dot. For example, if you mark a dot on a piece of paper, it represents a point.
A line segment, on the other hand, is a part of a line that has two endpoints. It is a finite length and can be measured. For example, if you draw a line segment on a piece of paper, it has a definite length between the two endpoints.
In the context of the given question, the set of points that is a part of a line with two endpoints is a line segment. This is because a line segment is the only option that fits the description of having two endpoints and being a part of a line. A line does not have endpoints, a ray extends infinitely in one direction, and a point is a single location without any length. Only a line segment has the characteristics of being a part of a line and having two endpoints.
Therefore, the correct answer is option B - A line segment.
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
a)
b)
c)
d)
|
Helly Popat answered |
Here, AC is the answer in this question and we have to find that what we have to subtract from AD so that we get the answer AC.
We have also saw that figure in question. It shows that if we subtract DC from AD we will get our answer that is AC.
We have also saw that figure in question. It shows that if we subtract DC from AD we will get our answer that is AC.
In the given figure, what are points P, O and Q called?
- a)Collinear points
- b)Non-collinear points
- c)Concurrent lines
- d)Non coplanar lines
Correct answer is option 'B'. Can you explain this answer?
In the given figure, what are points P, O and Q called?
a)
Collinear points
b)
Non-collinear points
c)
Concurrent lines
d)
Non coplanar lines
|
|
Madhu Sulaniya answered |
R, P and Q would be collinear points. Similarly P and O or P and Q would be collinear but P,O and Q are non collinear points
The lines which do not intersect and have equal distance between them are called:
- a)Parallel lines
- b)Straight lines
- c)Intersecting lines
- d)Perpendicular lines
Correct answer is option 'A'. Can you explain this answer?
The lines which do not intersect and have equal distance between them are called:
a)
Parallel lines
b)
Straight lines
c)
Intersecting lines
d)
Perpendicular lines
|
Srinidhi answered |
Lines which do not intersect each other are called parallel lines. Parallel lines also maintains the same distance.
How many diagonals are there in the follow-ing figure?
- a)5
- b)4
- c)2
- d)3
Correct answer is option 'A'. Can you explain this answer?
How many diagonals are there in the follow-ing figure?
a)
5
b)
4
c)
2
d)
3
|
EduRev Class 6 answered |
Here, the diagonals are AD, AC, BD, BE, CE. Totally there are 5 diagonals.
How many lines can pass through one given point?- a)Countless
- b)2
- c)4
- d)1
Correct answer is option 'A'. Can you explain this answer?
How many lines can pass through one given point?
a)
Countless
b)
2
c)
4
d)
1
|
|
Amar Singh answered |
Introduction:
In geometry, a line is a straight path that extends indefinitely in both directions. A point is a location in space that has no size or shape. When we consider a given point, we can determine how many lines can pass through it.
Explanation:
1. A single line:
If we consider a point in space, only one line can pass through it. This is because a line is defined by two points, and if we fix one point at the given point, the line can only have one orientation and direction.
2. Countless lines:
However, if we consider the point as a point on a plane, then countless lines can pass through it. This is because a plane is a two-dimensional surface that extends infinitely in all directions. If we consider any line on the plane, we can shift it parallel to itself, and it will still pass through the given point. As there are infinite parallel lines on a plane, there are countless lines that can pass through the given point.
Conclusion:
Therefore, when considering a point in space, only one line can pass through it. However, when considering a point on a plane, countless lines can pass through it. The correct answer is option 'A' - countless.
In geometry, a line is a straight path that extends indefinitely in both directions. A point is a location in space that has no size or shape. When we consider a given point, we can determine how many lines can pass through it.
Explanation:
1. A single line:
If we consider a point in space, only one line can pass through it. This is because a line is defined by two points, and if we fix one point at the given point, the line can only have one orientation and direction.
2. Countless lines:
However, if we consider the point as a point on a plane, then countless lines can pass through it. This is because a plane is a two-dimensional surface that extends infinitely in all directions. If we consider any line on the plane, we can shift it parallel to itself, and it will still pass through the given point. As there are infinite parallel lines on a plane, there are countless lines that can pass through the given point.
Conclusion:
Therefore, when considering a point in space, only one line can pass through it. However, when considering a point on a plane, countless lines can pass through it. The correct answer is option 'A' - countless.
What are used to represent points?
- a)Numerals.
- b)Capital letters of alphabet.
- c)Lower case letters of alphabet.
- d)All of the above
Correct answer is option 'B'. Can you explain this answer?
What are used to represent points?
a)
Numerals.
b)
Capital letters of alphabet.
c)
Lower case letters of alphabet.
d)
All of the above
|
|
Harshad Goyal answered |
Representing Points
Points are represented by various symbols in different contexts. In mathematics, the most common symbol used to represent points is the capital letter of the alphabet.
Capital Letters of Alphabet
Capital letters of the alphabet are used to represent points in coordinate geometry. For example, in the Cartesian coordinate system, each point is represented by a pair of numbers, usually denoted by (x, y). Here, the x-coordinate is represented on the horizontal axis and the y-coordinate is represented on the vertical axis. Each point is uniquely identified by its coordinates.
In this system, points are represented by a capital letter of the alphabet, followed by the coordinates in brackets. For example, point A with coordinates (2, 3) is represented as A(2, 3).
Numerals and Lower Case Letters of Alphabet
Numerals and lower case letters of the alphabet are not commonly used to represent points in mathematics. However, they may be used in other contexts, such as in computer programming or data visualization.
Conclusion
In conclusion, points are most commonly represented by capital letters of the alphabet in mathematics, particularly in coordinate geometry. Other symbols may be used in different contexts, but capital letters remain the most widely used symbol for representing points.
Points are represented by various symbols in different contexts. In mathematics, the most common symbol used to represent points is the capital letter of the alphabet.
Capital Letters of Alphabet
Capital letters of the alphabet are used to represent points in coordinate geometry. For example, in the Cartesian coordinate system, each point is represented by a pair of numbers, usually denoted by (x, y). Here, the x-coordinate is represented on the horizontal axis and the y-coordinate is represented on the vertical axis. Each point is uniquely identified by its coordinates.
In this system, points are represented by a capital letter of the alphabet, followed by the coordinates in brackets. For example, point A with coordinates (2, 3) is represented as A(2, 3).
Numerals and Lower Case Letters of Alphabet
Numerals and lower case letters of the alphabet are not commonly used to represent points in mathematics. However, they may be used in other contexts, such as in computer programming or data visualization.
Conclusion
In conclusion, points are most commonly represented by capital letters of the alphabet in mathematics, particularly in coordinate geometry. Other symbols may be used in different contexts, but capital letters remain the most widely used symbol for representing points.
Flat surface in which two points are joined by using straight line is classified as
- a)line
- b)plane
- c)ray
- d)intersecting line
Correct answer is option 'B'. Can you explain this answer?
Flat surface in which two points are joined by using straight line is classified as
a)
line
b)
plane
c)
ray
d)
intersecting line
|
Ishan Choudhury answered |
A plane is a flat, two-dimensional surface that extends infinitely far. When two points are joined using a straight line on a flat surface, it is the plane that is being referred to. The line is part of the plane, but it is not the surface itself. Similarly, a ray and an intersecting line are also components that exist within a plane, but they are not the surface itself..
Correct option is B. Plane
Correct option is B. Plane
How is a line PQ symbolically written?- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
How is a line PQ symbolically written?
a)
b)
c)
d)
|
Shweta garg answered |
The symbol of a line is ↔.
Hence, a line PQ is symbolically written as
Hence, a line PQ is symbolically written as
A flat surface which extends indefinitely in all directions is called ___________ .- a)plane
- b)lines
- c)point
- d)line segment
Correct answer is option 'A'. Can you explain this answer?
A flat surface which extends indefinitely in all directions is called ___________ .
a)
plane
b)
lines
c)
point
d)
line segment
|
|
Saikat Mehta answered |
**Answer:**
The correct answer is option A, "plane".
A **plane** is a flat surface that extends infinitely in all directions. It is a two-dimensional surface that has length and width but no thickness. A plane can be thought of as an imaginary sheet of paper that goes on forever in all directions.
Here are some key points to understand about planes:
**1. Definition:** A plane is a flat, two-dimensional surface that extends infinitely in all directions.
**2. Characteristics of a Plane:**
- A plane has no thickness.
- It is infinitely large and extends indefinitely in all directions.
- It is a flat surface that can be represented mathematically.
- A plane has two dimensions - length and width - but no height.
**3. Representation:** A plane can be represented by drawing a flat surface on a piece of paper or by using mathematical equations to describe its properties.
**4. Examples:** Some examples of planes include:
- The surface of a table or a whiteboard.
- The floor or ceiling of a room.
- The surface of a lake or a pool.
- The surface of a piece of paper.
**5. Use in Geometry:** Planes are an important concept in geometry. They are used to define and describe geometric shapes and figures. For example, a square is a flat shape that lies in a plane, and a cube is a three-dimensional shape made up of six square faces that are all in different planes.
In conclusion, a flat surface that extends indefinitely in all directions is called a plane. It is a two-dimensional surface with length and width but no thickness. Planes are important in mathematics and geometry for defining and describing shapes and figures.
The correct answer is option A, "plane".
A **plane** is a flat surface that extends infinitely in all directions. It is a two-dimensional surface that has length and width but no thickness. A plane can be thought of as an imaginary sheet of paper that goes on forever in all directions.
Here are some key points to understand about planes:
**1. Definition:** A plane is a flat, two-dimensional surface that extends infinitely in all directions.
**2. Characteristics of a Plane:**
- A plane has no thickness.
- It is infinitely large and extends indefinitely in all directions.
- It is a flat surface that can be represented mathematically.
- A plane has two dimensions - length and width - but no height.
**3. Representation:** A plane can be represented by drawing a flat surface on a piece of paper or by using mathematical equations to describe its properties.
**4. Examples:** Some examples of planes include:
- The surface of a table or a whiteboard.
- The floor or ceiling of a room.
- The surface of a lake or a pool.
- The surface of a piece of paper.
**5. Use in Geometry:** Planes are an important concept in geometry. They are used to define and describe geometric shapes and figures. For example, a square is a flat shape that lies in a plane, and a cube is a three-dimensional shape made up of six square faces that are all in different planes.
In conclusion, a flat surface that extends indefinitely in all directions is called a plane. It is a two-dimensional surface with length and width but no thickness. Planes are important in mathematics and geometry for defining and describing shapes and figures.
How do you write a line segment AB symbolically?- a)
- b)
- c)
- d)AB
Correct answer is option 'A'. Can you explain this answer?
How do you write a line segment AB symbolically?
a)
b)
c)
d)
AB
|
Siva Prasad answered |
A is line segment symbol
If two lines intersects each other then the common point between them is known as point of _________.- a)concurrence
- b)intersection
- c)vertex
- d)contact
Correct answer is option 'B'. Can you explain this answer?
If two lines intersects each other then the common point between them is known as point of _________.
a)
concurrence
b)
intersection
c)
vertex
d)
contact
|
Shakti Iyer answered |
Two lines intersect when they cross each other. They form vertically opposite angles, which we will learn later. The point where the lines intersect is called the point of intersection.
How many angles are there in a triangle?
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'C'. Can you explain this answer?
How many angles are there in a triangle?
a)
1
b)
2
c)
3
d)
4
|
Anisha Iyer answered |
Number of Angles in a Triangle
Triangles are geometric shapes that consist of three sides and three angles.
Definition of an Angle
An angle is formed when two lines or rays meet at a common endpoint. In a triangle, three angles are formed where the three sides meet.
Angles in a Triangle
1. A triangle has three angles.
2. Each angle is formed at the intersection of two sides of the triangle.
3. The sum of all three angles in a triangle is always equal to 180 degrees.
4. The angles in a triangle can vary in size and shape, depending on the type of triangle (e.g., equilateral, isosceles, scalene).
Importance of Understanding Triangle Angles
1. Understanding the angles in a triangle is crucial for solving geometry problems.
2. The relationship between the angles in a triangle can help determine the type of triangle and solve for unknown angles or side lengths.
3. Knowing the properties of triangles and their angles is fundamental in various fields, including mathematics, architecture, and engineering.
In conclusion, a triangle has three angles, and each angle plays a significant role in determining the properties and characteristics of the triangle. Understanding the angles in a triangle is essential for solving geometry problems and applying geometric principles in real-world scenarios.
How many lines can you draw joining two distinct points in a plane?- a)Two
- b)One
- c)Zero
- d)Infinitely many
Correct answer is option 'B'. Can you explain this answer?
How many lines can you draw joining two distinct points in a plane?
a)
Two
b)
One
c)
Zero
d)
Infinitely many
|
Srishti Menon answered |
Only one line can be drawn passing through two given points.
Which instrument is used to compare two line segments?- a)Compasses
- b)A divider
- c)Set squares
- d)A protractor
Correct answer is option 'B'. Can you explain this answer?
Which instrument is used to compare two line segments?
a)
Compasses
b)
A divider
c)
Set squares
d)
A protractor
|
|
Srishti Menon answered |
A divider is used to compare line segments.
When two rays meet each other at a certain point then the- a)line segment is formed
- b)line is formed
- c)angle is formed
- d)all of above
Correct answer is option 'C'. Can you explain this answer?
When two rays meet each other at a certain point then the
a)
line segment is formed
b)
line is formed
c)
angle is formed
d)
all of above
|
Akshita Sarkar answered |
**Explanation:**
When two rays meet at a certain point, an angle is formed. Let's explore this in more detail:
**1. Rays:**
- A ray is a part of a line that starts at a particular point and extends indefinitely in one direction.
- It has one endpoint and continues infinitely in the other direction.
- In geometry, rays are represented by drawing a line with an arrowhead on one side to indicate the direction in which it extends.
**2. Intersection:**
- When two rays intersect, it means they meet or cross each other at a specific point.
- The point where the rays meet is called the vertex of the angle.
**3. Angle:**
- An angle is formed when two rays share a common endpoint.
- The common endpoint is the vertex of the angle, and the two rays are the sides of the angle.
- The rays can be named using their endpoints, with the vertex as the middle letter.
- For example, if the rays are AB and AC, and their common endpoint is A, then the angle is denoted as ∠BAC.
**4. Types of Angles:**
- Angles can be classified based on their measure:
- Acute angle: An angle that measures less than 90 degrees.
- Right angle: An angle that measures exactly 90 degrees.
- Obtuse angle: An angle that measures more than 90 degrees but less than 180 degrees.
- Straight angle: An angle that measures exactly 180 degrees.
- Reflex angle: An angle that measures more than 180 degrees but less than 360 degrees.
**Conclusion:**
When two rays meet or intersect at a particular point, an angle is formed. The angle is defined by the two rays, with the common endpoint serving as the vertex. Thus, the correct answer is option 'C' - angle is formed.
When two rays meet at a certain point, an angle is formed. Let's explore this in more detail:
**1. Rays:**
- A ray is a part of a line that starts at a particular point and extends indefinitely in one direction.
- It has one endpoint and continues infinitely in the other direction.
- In geometry, rays are represented by drawing a line with an arrowhead on one side to indicate the direction in which it extends.
**2. Intersection:**
- When two rays intersect, it means they meet or cross each other at a specific point.
- The point where the rays meet is called the vertex of the angle.
**3. Angle:**
- An angle is formed when two rays share a common endpoint.
- The common endpoint is the vertex of the angle, and the two rays are the sides of the angle.
- The rays can be named using their endpoints, with the vertex as the middle letter.
- For example, if the rays are AB and AC, and their common endpoint is A, then the angle is denoted as ∠BAC.
**4. Types of Angles:**
- Angles can be classified based on their measure:
- Acute angle: An angle that measures less than 90 degrees.
- Right angle: An angle that measures exactly 90 degrees.
- Obtuse angle: An angle that measures more than 90 degrees but less than 180 degrees.
- Straight angle: An angle that measures exactly 180 degrees.
- Reflex angle: An angle that measures more than 180 degrees but less than 360 degrees.
**Conclusion:**
When two rays meet or intersect at a particular point, an angle is formed. The angle is defined by the two rays, with the common endpoint serving as the vertex. Thus, the correct answer is option 'C' - angle is formed.
Angle which is equal to 90° is classified as- a)right angle
- b)obtuse angle
- c)acute angle
- d)reflex angle
Correct answer is option 'A'. Can you explain this answer?
Angle which is equal to 90° is classified as
a)
right angle
b)
obtuse angle
c)
acute angle
d)
reflex angle
|
Agastya Chaudhary answered |
A) Right angle measures up to 90 degreeb) obtuse measures above 90 degree and is less than 180 degreec) acute angle measures below 90 degreed) reflex angle measures above 180 degree and less than 360 degree Therefore, the answer is a) right angle
How many angles are there in a quadrilateral?- a)4
- b)2
- c)3
- d)1
Correct answer is option 'A'. Can you explain this answer?
How many angles are there in a quadrilateral?
a)
4
b)
2
c)
3
d)
1
|
|
Dr Manju Sen answered |
To determine how many angles are in a quadrilateral, consider the following points:
- - A quadrilateral is a polygon with four sides.
- - By definition, a polygon with four sides will have four vertices.
- - Each vertex in a polygon represents an angle.
Therefore, a quadrilateral has:
- 4 angles
- 4 angles
The common end point where two rays meet to form an angle is called:- a)Vertex
- b)Arm
- c)Ray
- d)Segment
Correct answer is option 'A'. Can you explain this answer?
The common end point where two rays meet to form an angle is called:
a)
Vertex
b)
Arm
c)
Ray
d)
Segment
|
Abhay Datta answered |
Vertex:
The common end point where two rays meet to form an angle is called the vertex. It is the point where the two rays intersect or come together. The vertex is represented by a dot and is usually labeled with a letter.
Explanation:
When two rays intersect, they form an angle. An angle is a geometric figure formed by two rays with a common endpoint. The endpoint is known as the vertex. It is the starting point for measuring the angle.
Example:
Let's consider two rays, Ray AB and Ray AC. When these two rays meet at point A, they form an angle. In this case, point A is the vertex of the angle.
Importance of the Vertex:
The vertex is an essential part of an angle as it helps in identifying and measuring the angle accurately. Without the vertex, angles cannot be defined or understood properly.
Properties of the Vertex:
1. The vertex is a point.
2. It is the common endpoint of the two rays forming the angle.
3. The vertex is represented by a dot and is usually labeled with a letter.
4. The vertex does not have any length, width, or thickness.
Conclusion:
In geometry, the common end point where two rays meet to form an angle is called the vertex. It is important to understand the concept of the vertex in order to accurately define and measure angles. The vertex is a point and is represented by a dot, usually labeled with a letter.
The common end point where two rays meet to form an angle is called the vertex. It is the point where the two rays intersect or come together. The vertex is represented by a dot and is usually labeled with a letter.
Explanation:
When two rays intersect, they form an angle. An angle is a geometric figure formed by two rays with a common endpoint. The endpoint is known as the vertex. It is the starting point for measuring the angle.
Example:
Let's consider two rays, Ray AB and Ray AC. When these two rays meet at point A, they form an angle. In this case, point A is the vertex of the angle.
Importance of the Vertex:
The vertex is an essential part of an angle as it helps in identifying and measuring the angle accurately. Without the vertex, angles cannot be defined or understood properly.
Properties of the Vertex:
1. The vertex is a point.
2. It is the common endpoint of the two rays forming the angle.
3. The vertex is represented by a dot and is usually labeled with a letter.
4. The vertex does not have any length, width, or thickness.
Conclusion:
In geometry, the common end point where two rays meet to form an angle is called the vertex. It is important to understand the concept of the vertex in order to accurately define and measure angles. The vertex is a point and is represented by a dot, usually labeled with a letter.
How many sides are there in a quadrilateral?
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'D'. Can you explain this answer?
How many sides are there in a quadrilateral?
a)
1
b)
2
c)
3
d)
4
|
Torcia Education answered |
The correct answer is D: 4.
- A quadrilateral is a polygon.
- The prefix "quadri-" means four, indicating the number of sides.
- Examples include squares, rectangles, and trapezoids.
- Each quadrilateral has:
- Four sides
- Four vertices (corners)
- Four angles
Understanding the term "quadrilateral" helps identify it as a four-sided shape.
- A quadrilateral is a polygon.
- The prefix "quadri-" means four, indicating the number of sides.
- Examples include squares, rectangles, and trapezoids.
- Each quadrilateral has:
- Four sides
- Four vertices (corners)
- Four angles
Understanding the term "quadrilateral" helps identify it as a four-sided shape.
Any line segment can be formed by joining- a)two points
- b)three points
- c)four points
- d)more than three points
Correct answer is option 'A'. Can you explain this answer?
Any line segment can be formed by joining
a)
two points
b)
three points
c)
four points
d)
more than three points
|
|
Anoushka Chavan answered |
Answer :
- a)two points
Explanation: single line can be formed by
joining two points . So exactly one line segment can be determined.
How many points are enough to fix a line?- a)2
- b)1
- c)3
- d)4
Correct answer is option 'A'. Can you explain this answer?
How many points are enough to fix a line?
a)
2
b)
1
c)
3
d)
4
|
|
Dr Manju Sen answered |
To fix a line in a plane, you need 2 points. Here's why:
- Two distinct points uniquely determine a line in a plane.
- If you have 1 point, you can draw infinite lines passing through it.
- With 3 or more points, you risk creating inconsistencies or unnecessary complexity.
Therefore, the correct answer is A: 2 points.
- Two distinct points uniquely determine a line in a plane.
- If you have 1 point, you can draw infinite lines passing through it.
- With 3 or more points, you risk creating inconsistencies or unnecessary complexity.
Therefore, the correct answer is A: 2 points.
Four lines p, q, r and s are said to be concurrent. What do they pass through?- a)Same line
- b)Same point
- c)Same plane
- d)Different points
Correct answer is option 'B'. Can you explain this answer?
Four lines p, q, r and s are said to be concurrent. What do they pass through?
a)
Same line
b)
Same point
c)
Same plane
d)
Different points
|
Jhanvi Banerjee answered |
If the lines p, q, r and s are said to be concurrent they pass through the same point.
Three points P, Q and R are said to be collinear. Where do they lie?- a)On the same plane.
- b)On the same line.
- c)On different lines.
- d)On different planes.
Correct answer is option 'B'. Can you explain this answer?
Three points P, Q and R are said to be collinear. Where do they lie?
a)
On the same plane.
b)
On the same line.
c)
On different lines.
d)
On different planes.
|
|
Moumita Kumar answered |
The points P, Q, R, S, T ... lying on line ℓ are said to be collinear.
NOTE: Infinite number of points lying on same line are considered as collinear.
NOTE: Infinite number of points lying on same line are considered as collinear.
What is the symbolic representation of a ray OP?
- a)
- b)
- c)
- d)OP
Correct answer is option 'C'. Can you explain this answer?
What is the symbolic representation of a ray OP?
a)
b)
c)
d)
OP
|
Shilpa Kulkarni answered |
As ray originates from a point it move farther and have no end . so option (c) is correct
Chapter doubts & questions for Basic Geometrical Ideas - Online MCQ Tests for Class 6 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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