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All questions of Basic Geometrical Ideas for Class 6 Exam

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?

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.

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?

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.

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?

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

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?

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)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

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.

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?

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.

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?

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.

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