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All questions of Lines and Angles for Class 6 Exam

Which of the following is true about a point in geometry?
  • a)
    A point has a definite size.
  • b)
    A point is labeled with lowercase letters.
  • c)
    A point marks an exact location but has no size.
  • d)
    A point extends infinitely in all directions.
Correct answer is option 'C'. Can you explain this answer?

A point in geometry is an exact location with no length, width, or height. It is usually labeled with a capital letter and is imagined to be very small, representing a specific position without any physical dimensions.

Which of the following angles is classified as obtuse?
  • a)
    45°
  • b)
    90°
  • c)
    135°
  • d)
    180°
Correct answer is option 'C'. Can you explain this answer?

An obtuse angle is one that is greater than 90° but less than 180°. Since 135° falls within this range, it is classified as an obtuse angle.

What is the measure of a right angle?
  • a)
    45°
  • b)
    90°
  • c)
    180°
  • d)
    360°
Correct answer is option 'B'. Can you explain this answer?

Gunjan Lakhani answered
A right angle measures exactly 90°, which is half of a straight angle (180°). It is often represented by the 'L' shape.

How many degrees are there in a full turn?
  • a)
    90°
  • b)
    180°
  • c)
    270°
  • d)
    360°
Correct answer is option 'D'. Can you explain this answer?

Vp Classes answered
A full turn is a complete rotation around a point, which measures 360°. This is why a circle is divided into 360 equal degrees.

Number of lines which can be drawn passing through two given points
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    An infinite number
Correct answer is option 'A'. Can you explain this answer?

Dr Manju Sen answered
  • If you are given two distinct points, only one straight line can pass through both of them. This is a basic rule in geometry.
  • There can be no more than one line passing through two points because a straight line is uniquely determined by any two points on it.
So, the answer is 1 line.

Which of the following is not a type of angle based on its measure?
  • a)
    Acute angle
  • b)
    Obtuse angle
  • c)
    Parallel angle
  • d)
    Reflex angle
Correct answer is option 'C'. Can you explain this answer?

Rohini Seth answered
The types of angles based on their measure include acute, obtuse, right, straight, and reflex angles. There is no such thing as a "parallel angle."

What is the main difference between a line and a line segment?
  • a)
    A line segment has no endpoints, while a line has two endpoints.
  • b)
    A line extends infinitely in both directions, while a line segment has two endpoints.
  • c)
    A line segment extends infinitely in one direction, while a line does not extend.
  • d)
    A line segment is curved, while a line is straight.
Correct answer is option 'B'. Can you explain this answer?

Ananya Das answered
The Difference Between a Line and a Line Segment
Understanding the distinction between a line and a line segment is fundamental in geometry. Here’s a detailed explanation:
Definition of a Line
- A line is a straight one-dimensional figure that extends infinitely in both directions.
- It has no endpoints and is usually represented with arrows at both ends, indicating its endless nature.
Definition of a Line Segment
- A line segment is a part of a line that has two distinct endpoints.
- It is defined by the points at either end and contains all the points between these endpoints.
Main Differences
- Endpoints:
- A line has no endpoints, while a line segment has two endpoints.
- Length:
- A line extends infinitely and does not have a measurable length.
- A line segment has a fixed length, which can be measured.
- Representation:
- A line is represented as a straight path with arrows at both ends (e.g., ↔).
- A line segment is represented as a straight path with points at both ends (e.g., AB).
Conclusion
Thus, the correct answer, option 'B', clearly states that a line extends infinitely in both directions, while a line segment has two endpoints. This understanding is crucial for solving problems and applying concepts in geometry effectively.

Which tool is used to measure angles?
  • a)
    Ruler
  • b)
    Compass
  • c)
    Protractor
  • d)
    Divider
Correct answer is option 'C'. Can you explain this answer?

Vp Classes answered
A protractor is the tool used to measure angles. It is typically a half-circle divided into 180 equal parts, each representing one degree.

What is a reflex angle?
  • a)
    An angle less than 90°
  • b)
    An angle exactly 90°
  • c)
    An angle greater than 180° but less than 360°
  • d)
    An angle exactly 180°
Correct answer is option 'C'. Can you explain this answer?

Sneha Rane answered
Understanding Reflex Angles
A reflex angle is a specific type of angle in geometry. Let’s break down what it is and why option 'C' is the correct answer.
Definition of a Reflex Angle
- A reflex angle is defined as an angle that is greater than 180 degrees but less than 360 degrees.
- This means that it represents a portion of a full circle, which has a total of 360 degrees.
Comparison with Other Angles
- Acute Angle: An angle that is less than 90 degrees.
- Right Angle: An angle that is exactly 90 degrees.
- Straight Angle: An angle that is exactly 180 degrees.
- Full Angle: An angle that is exactly 360 degrees.
Why Option 'C' is Correct
- The correct answer, option 'C', states that a reflex angle is greater than 180 degrees but less than 360 degrees.
- This definition clearly distinguishes reflex angles from acute, right, and straight angles.
Visual Representation
- Imagine a clock:
- The angle formed by the hands at 10:10 is a reflex angle because it measures more than 180 degrees.
Conclusion
Understanding reflex angles is fundamental in geometry as they help us comprehend more complex shapes and figures. Recognizing the characteristics of different types of angles, including reflex angles, is essential for solving various mathematical problems.

Measures of the shorter angle between hour and minute hands of a clock at 9 0 ’clock is
  • a)
    60°
  • b)
    90°
  • c)
    75° 
  • d)
    30°
Correct answer is option 'B'. Can you explain this answer?

EduRev Class 6 answered
  • The minute hand is at 12
  • The hour hand is at 9
How do we find the angle between them?
  • A clock is a circle. A circle has 360 degrees.
  • There are 12 numbers on a clock.
  • So, the space between each number is:
    360 ÷ 12 = 30 degrees
Now count how many numbers are between 9 and 12:
  • From 9 to 12, there are 3 numbers (9 to 10, 10 to 11, 11 to 12)
So, the angle is:
  • 3 × 30 = 90 degrees

What is a straight angle?
  • a)
    An angle of 0°
  • b)
    An angle of 90°
  • c)
    An angle of 180°
  • d)
    An angle of 360°
Correct answer is option 'C'. Can you explain this answer?

EduRev Class 6 answered
A straight angle measures exactly 180° and looks like a straight line. It is formed when the arms of the angle point in opposite directions.

Which of the following angles is an acute angle?
  • a)
    60°
  • b)
    120°
  • c)
    90°
  • d)
    180°
Correct answer is option 'A'. Can you explain this answer?

An acute angle is one that is less than 90°. Since 60° is less than 90°, it is classified as an acute angle.

The number of acute angles in the given figure is
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?

Coders Trust answered
Let's examine the angles in the figure:
  • 45° is an acute angle.
  • 40° is an acute angle.
  • 30° is an acute angle.
  • 65° is an acute angle.
All angles that are less than a right angle or in other words, less than 90 degree. Such angles are called acute angles
(c) 4 acute angles.

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