Chapter 2 Lines and Angles – Practice set 2

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📘 Practice Set 2

Chapter 2 – Lines and Angles

Practice Set 2 – Part 1
This practice set contains completely new questions. It covers the entire chapter and helps students prepare for school as well as competitive examinations.

Section A – Multiple Choice Questions

  1. A ray extends endlessly in ________ direction.
    A) both    B) one    C) three    D) four

  2. Which of the following has no endpoints?
    A) Line Segment    B) Ray    C) Line    D) Angle

  3. Which angle measures exactly 180°?
    A) Acute Angle    B) Straight Angle    C) Reflex Angle    D) Complete Angle

  4. A reflex angle is always ________.
    A) less than 90°
    B) exactly 180°
    C) greater than 180° but less than 360°
    D) exactly 360°

  5. The common point of two rays is called the ________.
    A) Arm    B) Vertex    C) Plane    D) Edge

  6. Which figure can be named using one small letter?
    A) Point    B) Line    C) Angle    D) Ray

  7. Which figure is formed when two rays have the same starting point?
    A) Line Segment    B) Plane    C) Angle    D) Point

  8. How many degrees are there in half of a complete angle?
    A) 45°    B) 90°    C) 180°    D) 360°

  9. Which angle is smaller than a right angle?
    A) Reflex Angle    B) Acute Angle    C) Straight Angle    D) Obtuse Angle

  10. Which of the following is an example of a plane?
    A) Chalk piece
    B) Blackboard surface
    C) Pencil tip
    D) Rope

Section B – Fill in the Blanks

  1. A line has no __________ points.
  2. A ray starts from one fixed __________.
  3. An angle has __________ arms.
  4. The vertex is the __________ point of an angle.
  5. A right angle measures exactly __________ degrees.
  6. A complete angle measures __________ degrees.
  7. An obtuse angle is greater than __________°.
  8. The two endpoints of a line segment can be __________.
  9. The symbol used for a ray is __________.
  10. A straight angle is equal to __________ right angles.

Section C – True or False

  1. A line segment extends endlessly in both directions.
  2. An acute angle can measure 85°.
  3. A reflex angle measures less than 180°.
  4. The surface of a notebook is an example of a plane.
  5. A point occupies a fixed position.
  6. A complete angle is smaller than a straight angle.
  7. Two rays having a common starting point always form an angle.
  8. The measure of an angle changes if its arms become longer.
  9. A straight angle measures 180°.
  10. A ray has exactly one endpoint.

✅ Solutions

Section A Answers

  1. B) one
  2. C) Line
  3. B) Straight Angle
  4. C) Greater than 180° but less than 360°
  5. B) Vertex
  6. B) Line
  7. C) Angle
  8. C) 180°
  9. B) Acute Angle
  10. B) Blackboard surface

Section B Answers

  1. end
  2. point
  3. two
  4. common
  5. 90
  6. 360
  7. 90
  8. joined
  9. →
  10. two

Section C Answers

  1. False
  2. True
  3. False
  4. True
  5. True
  6. False
  7. True
  8. False
  9. True
  10. True
✅ Great!
You have completed Practice Set 2 – Part 1. This part revised:
  • ✔ Point, Line, Ray, Line Segment and Plane
  • ✔ Types of Angles
  • ✔ Basic Geometry Concepts

📘 Practice Set 2

Chapter 2 – Lines and Angles

Practice Set 2 – Part 2A
This part contains properly shuffled Match the Pairs and Identify the Geometric Concept questions.

Section D – Match the Pairs

Match each item in Column A with its correct description in Column B.

Column A Column B
1. Collinear points a. Flat surface extending endlessly in all directions
2. Non-collinear points b. Region outside the arms of an angle
3. Obtuse angle c. Points lying on one straight line
4. Interior of an angle d. Angle measuring exactly 0°
5. Exterior of an angle e. Region between the two arms of an angle
6. Zero angle f. Angle greater than 90° but less than 180°
7. Line segment g. Shortest straight path between two points
8. Plane h. Points that do not lie on one straight line
✍️ Write your answers like this:
1 – ___, 2 – ___, 3 – ___, 4 – ___, 5 – ___, 6 – ___, 7 – ___, 8 – ___

Section E – Identify the Geometric Concept

Read each description carefully and write the correct geometric term.

  1. Three stars appear in one straight row in the sky.
    Answer: __________________________

  2. Three trees are planted at different places, and no one straight line can pass through all of them.
    Answer: __________________________

  3. A beam begins at point A and travels endlessly through point B in one direction.
    Answer: __________________________

  4. A straight figure passes through points P and Q and continues endlessly on both sides.
    Answer: __________________________

  5. A straight piece joins points M and N and has a fixed length.
    Answer: __________________________

  6. A small dot shows the exact position of a bus stop on a map.
    Answer: __________________________

  7. A smooth flat surface is imagined to continue endlessly in every direction.
    Answer: __________________________

  8. Two rays start from point O and move in different directions.
    Answer: __________________________

  9. Point R lies in the space between the two arms of an angle.
    Answer: __________________________

  10. Point S lies outside the opening formed by the two arms of an angle.
    Answer: __________________________

  11. Point T lies exactly on one arm of an angle.
    Answer: __________________________

  12. A straight path from one village to another gives the least distance.
    Answer: __________________________

✅ Solutions

Section D Answers

Correct Matches:

1 – c
2 – h
3 – f
4 – e
5 – b
6 – d
7 – g
8 – a

Section E Answers

  1. Collinear points
  2. Non-collinear points
  3. Ray AB
  4. Line PQ
  5. Line segment MN
  6. Point
  7. Plane
  8. Angle
  9. Interior point of the angle
  10. Exterior point of the angle
  11. Point on the angle
  12. Line segment
✅ Part 2A Completed:
The matching options are properly shuffled, so students must understand each concept before answering.

📘 Practice Set 2

Chapter 2 – Lines and Angles

Practice Set 2 – Part 2B
This part gives practice in identifying angle types from their measures and using angle rules in different situations.

Section F – Identify the Type of Angle

Write the correct type of angle for each measure.

Angle Measure Type of Angle
24° __________________
88° __________________
90° __________________
117° __________________
179° __________________
180° __________________
201° __________________
298° __________________
0° __________________
360° __________________

Section G – Complete the Angle Statements

  1. An angle of 72° is a/an __________________ angle.
  2. An angle of 146° is a/an __________________ angle.
  3. An angle of 270° is a/an __________________ angle.
  4. Two right angles together form a __________________ angle.
  5. Four right angles together form a __________________ angle.
  6. Half of a straight angle is a __________________ angle.
  7. An angle smaller than 90° but greater than 0° is called an __________________ angle.
  8. An angle greater than 180° but smaller than 360° is called a __________________ angle.
  9. When both arms of an angle lie on each other, the angle formed is a __________________ angle.
  10. When one arm makes one full turn and comes back to its starting position, it forms a __________________ angle.

Section H – Think and Classify

Read each situation and write the type of angle formed.

  1. The hands of a clock show 3:00.
    Angle type: __________________

  2. The hands of a clock show 6:00.
    Angle type: __________________

  3. The hands of a clock show 1:00, considering the smaller angle.
    Angle type: __________________

  4. A door is opened wider than a right angle but not completely flat.
    Angle type: __________________

  5. A wheel completes one full rotation.
    Angle type: __________________

  6. A closed pair of scissors has both blades in the same position.
    Angle type: __________________

  7. Two opposite rays lie on one straight line.
    Angle type: __________________

  8. The larger angle formed by the clock hands at 8:00 is considered.
    Angle type: __________________
⭐ Angle Rules:
0° = Zero angle
More than 0° and less than 90° = Acute angle
90° = Right angle
More than 90° and less than 180° = Obtuse angle
180° = Straight angle
More than 180° and less than 360° = Reflex angle
360° = Complete angle

✅ Solutions

Section F Answers

Angle Measure Correct Type
24° Acute Angle
88° Acute Angle
90° Right Angle
117° Obtuse Angle
179° Obtuse Angle
180° Straight Angle
201° Reflex Angle
298° Reflex Angle
0° Zero Angle
360° Complete Angle

Section G Answers

  1. Acute
  2. Obtuse
  3. Reflex
  4. Straight
  5. Complete
  6. Right
  7. Acute
  8. Reflex
  9. Zero
  10. Complete

Section H Answers

  1. Right Angle — at 3:00, the hands form 90°.
  2. Straight Angle — at 6:00, the hands form 180°.
  3. Acute Angle — at 1:00, the smaller angle is 30°.
  4. Obtuse Angle — the opening is greater than 90° but less than 180°.
  5. Complete Angle — one full rotation measures 360°.
  6. Zero Angle — both blades lie in the same position.
  7. Straight Angle — opposite rays form 180°.
  8. Reflex Angle — the larger angle at 8:00 is 240°.
✅ Part 2B Completed:
All angle measures, clock situations and angle classifications have been cross-checked.

📘 Practice Set 2

Chapter 2 – Lines and Angles

Practice Set 2 – Part 3
This part improves your thinking skills through diagram-based questions, short-answer questions and drawing activities.

Section G – Diagram Based Questions

Use the following information to answer Questions 1–6.

Point O is the common vertex.
  • Ray OA points towards the East.
  • Ray OB points towards the North.
  • Ray OC points towards the West.
  • Ray OD points towards the South.
  • Ray OE lies exactly between OA and OB.
  1. Name the vertex.
  2. How many rays are shown?
  3. Name one acute angle.
  4. Name any two right angles.
  5. Name one straight angle.
  6. Name the angle formed by OA and OE.

Section H – Answer in One Sentence

  1. What is the smallest type of angle?
  2. Which angle measures exactly 360°?
  3. What is the common endpoint of the arms of an angle called?
  4. Can a ray be measured completely? Why?
  5. Which figure has two endpoints?
  6. Write one example of a plane.
  7. How many rays are needed to form an angle?
  8. Can two different angles have the same vertex?
  9. Which angle is greater than 180°?
  10. Can a line segment be extended to form a line?

Section I – Short Answer Questions

  1. Differentiate between a line and a ray.
  2. Explain the difference between collinear and non-collinear points with one example each.
  3. Why does a point have no dimensions?
  4. How is a complete angle different from a straight angle?
  5. Explain why every right angle is not an acute angle.
  6. Write any four real-life examples of angles.
  7. What is meant by the arms of an angle?
  8. Explain why a plane is considered two-dimensional.

Section J – Draw and Label

Draw neat figures and label them correctly.

  1. Draw a ray AB.
  2. Draw a line CD.
  3. Draw a line segment EF.
  4. Draw a right angle and name it ∠PQR.
  5. Draw a reflex angle and name it ∠XYZ.
  6. Draw one acute angle and one obtuse angle on the same page.

✅ Solutions

Section G Answers

  1. O
  2. 5 rays
  3. ∠AOE
  4. ∠AOB and ∠COD
  5. ∠AOC (or ∠BOD)
  6. Acute Angle

Section H Answers

  1. Zero angle.
  2. Complete angle.
  3. Vertex.
  4. No. It extends endlessly in one direction.
  5. Line segment.
  6. Surface of a table / notebook / blackboard (any one).
  7. Two rays.
  8. Yes.
  9. Reflex angle.
  10. Yes.

Section I Answers

  1. A line extends endlessly in both directions, whereas a ray has one starting point and extends endlessly in one direction.
  2. Collinear points lie on one straight line. Example: Three points on a ruler. Non-collinear points do not lie on one straight line. Example: Three corners of a triangle.
  3. A point only shows a position. It has no length, width or thickness.
  4. A complete angle measures 360°, whereas a straight angle measures 180°.
  5. A right angle measures exactly 90°, while an acute angle is always less than 90°.
  6. Examples: Clock hands, scissors, open door, corner of a book.
  7. The two rays or line segments that form an angle are called its arms.
  8. A plane has only length and width. It has no thickness, so it is two-dimensional.

Section J Answers

These are drawing-based questions.
  • ✅ Ray AB
  • ✅ Line CD
  • ✅ Line Segment EF
  • ✅ Right Angle ∠PQR
  • ✅ Reflex Angle ∠XYZ
  • ✅ One Acute Angle and One Obtuse Angle
🎯 Learning Outcome
  • Students can identify rays and angles from a figure.
  • Students can answer conceptual questions confidently.
  • Students can explain geometric concepts in their own words.
  • Students can draw and label different geometric figures correctly.

📘 Practice Set 2

Chapter 2 – Lines and Angles

Practice Set 2 – Part 4
This final part contains Higher Order Thinking Skills (HOTS) questions and Competitive/Olympiad questions. These questions improve logical thinking and exam preparation.

⭐ Section K – HOTS (Higher Order Thinking Skills)

  1. A line segment AB is extended beyond B indefinitely. Which new geometric figure is formed?

  2. Can two different rays have the same starting point? Explain your answer.

  3. A student says that every angle greater than 90° is a reflex angle. Is the statement correct? Give a reason.

  4. Why can't the length of the arms change the measure of an angle?

  5. Can two different angles have the same vertex and one common arm? Explain with an example.

  6. If four rays start from the same point, can they form more than four angles? Explain.

  7. Why is a complete angle considered one full turn?

  8. Three points P, Q and R lie on one straight line. What type of angle is formed at Q?

🏆 Section L – Competitive / Olympiad Questions

  1. How many right angles together make a complete angle?

  2. An angle is greater than 180° but less than 360°. Identify the angle.

  3. Which angle is exactly half of a straight angle?

  4. How many degrees are there in three right angles?

  5. A clock shows 9:00. What is the smaller angle between the hands?

  6. Which angle is formed when both hands of a clock are at 12:00?

  7. If one ray rotates one complete turn, how many degrees does it rotate?

  8. Which geometric figure has one endpoint and no endpoint at the other end?

  9. How many straight angles make one complete angle?

  10. Which geometric figure has no endpoints and extends endlessly in both directions?

🧠 Challenge Yourself

Try these without using the textbook.
  1. Can a reflex angle ever be 180°? Why?
  2. Can an obtuse angle be greater than a straight angle?
  3. Write one real-life example of each type of angle.
  4. Draw three rays from one point and name all possible angles.
  5. Can a point be measured? Explain.

✅ Solutions

⭐ Section K Answers

  1. A ray.
  2. Yes. Many rays can start from the same point.
  3. No. Angles between 90° and 180° are obtuse angles.
  4. The angle depends on the opening between the arms, not on their lengths.
  5. Yes. Example: ∠AOB and ∠AOC have the same vertex O and common arm OA.
  6. Yes. Four rays can form several different angles.
  7. Because one full rotation measures 360°.
  8. A straight angle (180°).

🏆 Section L Answers

  1. 4 right angles.
  2. Reflex angle.
  3. Right angle.
  4. 270°.
  5. 90°.
  6. Zero angle.
  7. 360°.
  8. Ray.
  9. 2 straight angles.
  10. Line.

🧠 Challenge Yourself – Suggested Answers

  1. No. A reflex angle must always be greater than 180°.
  2. No. An obtuse angle is always less than 180°.
  3. Examples: Closed fan (Zero), Pizza slice (Acute), Book corner (Right), Open door (Obtuse), Straight road (Straight), Large clock angle (Reflex), Wheel rotation (Complete).
  4. Students should draw any three rays from one point and name all possible angles correctly.
  5. No. A point only shows an exact position. It has no length, width or thickness.

🎉 Practice Set 2 Completed Successfully

  • ✅ Basic Concepts
  • ✅ Types of Angles
  • ✅ Line, Ray, Line Segment & Plane
  • ✅ Diagram-based Questions
  • ✅ Drawing Practice
  • ✅ HOTS Questions
  • ✅ Olympiad / Competitive Questions
  • ✅ Fully Cross-Verified Solutions

Excellent! You have now completed Practice Set 2. Continue with Practice Sets 3, 4 and 5 to master the entire chapter and build confidence for school and competitive examinations.

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