Chapter 2 Lines and Angles – Practice set 1

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📘 Practice Set 1

Chapter 2 – Lines and Angles

✅ Focus: Basic concepts of point, line, line segment, ray, plane and angles.

Section A – Choose the Correct Answer

  1. A point shows a fixed __________.
    A) length    B) width    C) position    D) angle

  2. A line is infinite on __________ sides.
    A) one    B) two    C) three    D) no

  3. A line segment has __________ endpoints.
    A) 0    B) 1    C) 2    D) 3

  4. A ray has __________ starting point.
    A) one    B) two    C) three    D) no

  5. The common point of the arms of an angle is called the __________.
    A) side    B) vertex    C) plane    D) segment

  6. An angle measuring exactly 90° is called a __________.
    A) acute angle    B) obtuse angle    C) right angle    D) reflex angle

  7. An angle greater than 90° but less than 180° is called an __________.
    A) acute angle    B) obtuse angle    C) zero angle    D) complete angle

  8. A complete angle measures __________.
    A) 90°    B) 180°    C) 270°    D) 360°

Section B – Fill in the Blanks

  1. A point has no length, width or __________.
  2. A line segment is a __________ of a line.
  3. A ray extends endlessly in __________ direction.
  4. A plane is a flat surface that extends endlessly in __________ directions.
  5. Three or more points lying on the same line are called __________ points.
  6. The symbol used for angle is __________.
  7. The two rays forming an angle are called its __________.
  8. A straight angle measures __________ degrees.

Section C – True or False

  1. A point has thickness.
  2. A ray has one starting point.
  3. A line segment can be measured.
  4. A line has two endpoints.
  5. A plane is a flat surface.
  6. An acute angle is greater than 90°.
  7. A straight angle is equal to two right angles.
  8. A reflex angle is greater than 180° and less than 360°.

✅ Solutions

Section A Answers

  1. C) position
  2. B) two
  3. C) 2
  4. A) one
  5. B) vertex
  6. C) right angle
  7. B) obtuse angle
  8. D) 360°

Section B Answers

  1. thickness
  2. part
  3. one
  4. all
  5. collinear
  6. ∠
  7. arms / sides
  8. 180

Section C Answers

  1. False
  2. True
  3. True
  4. False
  5. True
  6. False
  7. True
  8. True

📘 Practice Set 1

Chapter 2 – Lines and Angles

Practice Set 1 – Part 2
This part helps students identify different geometric figures and classify different types of angles.

Section D – Match the Pairs

Column A Column B
1. Point a. 180°
2. Ray b. One starting point
3. Straight Angle c. Exact position
4. Plane d. Flat surface
5. Complete Angle e. 360°
6. Acute Angle f. Less than 90°
7. Right Angle g. Exactly 90°
8. Reflex Angle h. Greater than 180°

Section E – Name the Figure

Write whether the given description represents a Point, Line, Ray, Line Segment or Plane.

  1. Has no length, width or thickness. __________________
  2. Has one starting point and extends endlessly in one direction. __________________
  3. Has two endpoints. __________________
  4. Extends endlessly in both directions. __________________
  5. A flat surface extending endlessly in every direction. __________________
  6. The corner tip of a notebook page is represented by a __________________
  7. A laser beam travelling from a torch is like a __________________
  8. A stretched thread between two nails is like a __________________
  9. The surface of a whiteboard is an example of a __________________
  10. The location of a city on a map is represented by a __________________

Section F – Identify the Type of Angle

Write the correct type of angle for each measure.

Angle Type of Angle
15° __________________
90° __________________
130° __________________
180° __________________
0° __________________
275° __________________
360° __________________
72° __________________
165° __________________
225° __________________

✅ Solutions

Section D Answers

Column A Correct Match
1c
2b
3a
4d
5e
6f
7g
8h

Section E Answers

  1. Point
  2. Ray
  3. Line Segment
  4. Line
  5. Plane
  6. Point
  7. Ray
  8. Line Segment
  9. Plane
  10. Point

Section F Answers

Angle Answer
15°Acute Angle
90°Right Angle
130°Obtuse Angle
180°Straight Angle
0°Zero Angle
275°Reflex Angle
360°Complete Angle
72°Acute Angle
165°Obtuse Angle
225°Reflex Angle

📘 Practice Set 1

Chapter 2 – Lines and Angles

Practice Set 1 – Part 3
This part contains diagram-based questions, one-sentence questions, short answer questions and drawing activities to strengthen your understanding.

Section G – Diagram Based Questions

Use the following figure for Questions 1–5.

Imagine point O is the common vertex.
  • Ray OA points towards the right.
  • Ray OB points upwards.
  • Ray OC points towards the left.
  • Ray OD points downwards.
  1. How many rays are shown?
  2. Name any two right angles.
  3. Name one straight angle.
  4. What is the common vertex of all the rays?
  5. How many straight angles are formed?

Section H – Answer in One Sentence

  1. What is a point?
  2. What is the difference between a line and a line segment?
  3. How many arms does an angle have?
  4. Which angle measures exactly 180°?
  5. Which angle measures exactly 360°?
  6. Which angle is greater than 90° but less than 180°?
  7. What is the common point of two rays called?
  8. Which geometric figure extends endlessly in one direction?
  9. Write the symbol used for an angle.
  10. Can the length of the arms change the measure of an angle?

Section I – Short Answer Questions

  1. Explain the difference between a ray and a line segment.
  2. What is meant by the interior of an angle?
  3. Why is the vertex written in the middle while naming an angle?
  4. Write any four examples of angles seen in daily life.
  5. Explain why a straight angle is equal to two right angles.
  6. What is a plane? Give any two examples.
  7. Differentiate between an acute angle and an obtuse angle.
  8. Explain why a complete angle measures 360°.

Section J – Draw and Label

Draw neat figures and label them correctly.

  1. Draw a line AB.
  2. Draw a ray CD.
  3. Draw a line segment PQ.
  4. Draw an acute angle and label it ∠XYZ.
  5. Draw an obtuse angle and label it ∠ABC.
  6. Draw a straight angle.

✅ Solutions

Section G Answers

  1. 4 rays
  2. ∠AOB and ∠COD
  3. ∠AOC (or ∠BOD)
  4. Point O
  5. 2 straight angles

Section H Answers

  1. A point shows an exact position.
  2. A line extends endlessly in both directions, while a line segment has two endpoints.
  3. Two arms.
  4. Straight angle.
  5. Complete angle.
  6. Obtuse angle.
  7. Vertex.
  8. Ray.
  9. ∠
  10. No. Only the opening between the arms changes the measure.

Section I Answers

  1. A ray has one starting point and extends endlessly in one direction. A line segment has two endpoints.
  2. The interior of an angle is the space between its two arms.
  3. The vertex is written in the middle so that the exact angle can be identified correctly.
  4. Examples: Open door, clock hands, scissors, book corner.
  5. A straight angle measures 180°, while a right angle measures 90°. Therefore, 180° = 2 × 90°.
  6. A plane is a flat surface. Examples: Table top, whiteboard.
  7. An acute angle is less than 90°. An obtuse angle is greater than 90° but less than 180°.
  8. One complete turn around a point measures 360°, so a complete angle is 360°.

Section J Answers

These are drawing-based questions. Students should draw neat labelled figures.
  • ✅ Line AB
  • ✅ Ray CD
  • ✅ Line Segment PQ
  • ✅ Acute Angle ∠XYZ
  • ✅ Obtuse Angle ∠ABC
  • ✅ Straight Angle (180°)

🌟 Well Done!

You have now completed Practice Set 1 – Part 3. These questions improve conceptual understanding, diagram reading, and drawing skills, which are important for school examinations and competitive exams.

📘 Practice Set 1

Chapter 2 – Lines and Angles

Practice Set 1 – Part 4
This part contains HOTS questions, competitive exam questions, and final answer checking.

Section K – HOTS Questions ⭐

  1. If two rays have the same starting point, what figure is formed?
  2. Can three different rays starting from the same point form more than one angle?
  3. Why can a line not be measured completely?
  4. Why is a line segment useful for measuring distance?
  5. If an angle is smaller than a right angle, what type of angle is it?

Section L – Competitive / Olympiad Questions 🏆

  1. How many degrees are there in 3 right angles?
  2. How many right angles make one complete angle?
  3. If an angle measures 200°, what type of angle is it?
  4. If an angle measures 89°, what type of angle is it?
  5. If a straight angle is divided into two equal parts, what is each angle?
  6. How many rays are needed to form one angle?
  7. How many endpoints does a ray have?
  8. How many endpoints does a line segment have?
  9. What is the angle between two adjacent numbers on a clock?
  10. What angle is formed at 3 o'clock?

✅ Solutions

Section K Answers

  1. An angle is formed.
  2. Yes. Three rays starting from the same point can form three angles.
  3. A line cannot be measured completely because it extends endlessly in both directions.
  4. A line segment is useful for measuring distance because it has two fixed endpoints.
  5. It is an acute angle.

Section L Answers

  1. 270°
  2. 4 right angles
  3. Reflex angle
  4. Acute angle
  5. Right angle
  6. 2 rays
  7. 1 endpoint / starting point
  8. 2 endpoints
  9. 30°
  10. Right angle
✅ Answer Check: All answers are cross-verified according to the concepts of point, line, line segment, ray, plane and types of angles.

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