Chapter 2 Lines and Angles – Practice set 4

Leave a Comment / Grade 6 Maths / By

📘 Practice Set 4

Chapter 2 – Lines and Angles

Practice Set 4 – Part 1
This practice set contains completely new questions to strengthen your understanding of the chapter and improve your problem-solving skills.

Section A – Multiple Choice Questions

  1. Which figure has one starting point but no ending point?
    A) Line Segment    B) Ray    C) Line    D) Plane

  2. Which angle is exactly equal to two right angles?
    A) Acute Angle    B) Straight Angle    C) Reflex Angle    D) Complete Angle

  3. Which of the following figures cannot be measured completely?
    A) Line Segment    B) Line    C) Angle    D) Triangle

  4. The space between the two arms of an angle is called its ________.
    A) Exterior    B) Interior    C) Vertex    D) Endpoint

  5. A plane has ________ dimensions.
    A) Zero    B) One    C) Two    D) Three

  6. Which angle measures exactly one full turn?
    A) Straight Angle    B) Reflex Angle    C) Complete Angle    D) Right Angle

  7. Which figure is represented by a capital letter?
    A) Line    B) Point    C) Ray    D) Plane

  8. How many endpoints does a line have?
    A) One    B) Two    C) Three    D) None

  9. An angle measuring 145° is a/an ________.
    A) Acute Angle    B) Right Angle    C) Obtuse Angle    D) Reflex Angle

  10. Which figure extends endlessly in all directions on a flat surface?
    A) Plane    B) Point    C) Ray    D) Line Segment

Section B – Fill in the Blanks

  1. A point shows an exact __________.
  2. A line extends endlessly in __________ directions.
  3. A line segment joins two __________.
  4. An angle is formed by two __________.
  5. The common endpoint of the arms is called the __________.
  6. A reflex angle is greater than __________°.
  7. A straight angle measures __________°.
  8. A complete angle is equal to __________ right angles.
  9. The shortest distance between two points is a __________.
  10. A plane has length and __________.

Section C – True or False

  1. A point has no length, width or thickness.
  2. A ray has two endpoints.
  3. A line can extend endlessly in both directions.
  4. A right angle measures 180°.
  5. A complete angle measures 360°.
  6. A line segment has a fixed length.
  7. A reflex angle is greater than a straight angle.
  8. A plane is a three-dimensional figure.
  9. The opening between the arms decides the measure of an angle.
  10. Opposite rays form a straight angle.

✅ Solutions

Section A Answers

  1. B) Ray
  2. B) Straight Angle
  3. B) Line
  4. B) Interior
  5. C) Two
  6. C) Complete Angle
  7. B) Point
  8. D) None
  9. C) Obtuse Angle
  10. A) Plane

Section B Answers

  1. position
  2. both
  3. points
  4. rays
  5. vertex
  6. 180
  7. 180
  8. four
  9. line segment
  10. width

Section C Answers

  1. True
  2. False
  3. True
  4. False
  5. True
  6. True
  7. True
  8. False
  9. True
  10. True
🎯 Learning Outcome
  • Students revise all basic concepts of points, lines, rays and planes.
  • Students identify different types of angles confidently.
  • Students strengthen conceptual understanding using new questions.
  • All questions are completely different from Practice Sets 1, 2 and 3.

📘 Practice Set 4

Chapter 2 – Lines and Angles

Practice Set 4 – Part 2
This section tests your understanding of geometric concepts, angle types and properties through fresh questions.

Section D – Match the Pairs

Match Column A with the correct answer from Column B.

Column A Column B
1. Right Angle a. Extends endlessly in both directions
2. Line b. Exact position
3. Point c. Exactly 90°
4. Reflex Angle d. Common point of two rays
5. Vertex e. Greater than 180° but less than 360°
6. Complete Angle f. One full turn
7. Ray g. One endpoint
8. Collinear Points h. Points lying on the same straight line
✍️ Write your answers like:
1-__, 2-__, 3-__, 4-__, 5-__, 6-__, 7-__, 8-__

Section E – Identify the Geometric Concept

  1. A kite string stretched tightly between two children. __________________

  2. A laser beam coming out from a machine. __________________

  3. A tiny dot showing the position of a city on a map. __________________

  4. The top surface of a study table. __________________

  5. A railway track imagined to continue endlessly in both directions. __________________

  6. The common point where the hands of a clock are fixed. __________________

  7. The space inside an open angle. __________________

  8. The space outside the two arms of an angle. __________________

  9. Four points lying on one straight line. __________________

  10. Four points that cannot be joined by one straight line. __________________

Section F – Identify the Type of Angle

Angle Type of Angle
12°________________
76°________________
90°________________
142°________________
178°________________
180°________________
205°________________
330°________________
0°________________
360°________________

✅ Solutions

Section D Answers

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

Section E Answers

  1. Line Segment
  2. Ray
  3. Point
  4. Plane
  5. Line
  6. Vertex
  7. Interior of an Angle
  8. Exterior of an Angle
  9. Collinear Points
  10. Non-collinear Points

Section F Answers

Angle Answer
12°Acute Angle
76°Acute Angle
90°Right Angle
142°Obtuse Angle
178°Obtuse Angle
180°Straight Angle
205°Reflex Angle
330°Reflex Angle
0°Zero Angle
360°Complete Angle
🎯 Learning Outcome
  • Students practise identifying geometric concepts from real-life situations.
  • Students classify different types of angles accurately.
  • Students strengthen reasoning through a properly shuffled matching exercise.
  • All questions are unique and different from Practice Sets 1, 2 and 3.

📘 Practice Set 4

Chapter 2 – Lines and Angles

Practice Set 4 – Part 3
This section develops observation, logical thinking, drawing skills and conceptual understanding using completely new questions.

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 South-East.
  • Ray OC points towards the South.
  • Ray OD points towards the West.
  • Ray OE points towards the North.
  1. How many rays are shown?
  2. Name the common vertex.
  3. Name one acute angle.
  4. Name one obtuse angle.
  5. Name one straight angle.
  6. Which ray is opposite to ray OE?

Section H – Answer in One Sentence

  1. What is a line segment?
  2. What is the symbol used to represent an angle?
  3. Which angle measures exactly 90°?
  4. What is meant by collinear points?
  5. Which geometric figure has only one endpoint?
  6. Can a line segment have zero length?
  7. What is the largest type of angle studied in this chapter?
  8. Which angle is greater than 90° but less than 180°?
  9. How many dimensions does a point have?
  10. Can one point lie on more than one line?

Section I – Short Answer Questions

  1. Differentiate between a point and a line.
  2. Explain the difference between a straight angle and a complete angle.
  3. Why does a ray have only one endpoint?
  4. Write four real-life examples of rays.
  5. Why is a line considered infinite?
  6. Explain the difference between interior and exterior points of an angle.
  7. Why is the shortest distance between two points always a line segment?
  8. Write any four objects where right angles can be seen.

Section J – Draw and Label

Draw neat labelled figures.

  1. Draw line segment AB.
  2. Draw ray CD.
  3. Draw line MN.
  4. Draw an acute angle and name it ∠XYZ.
  5. Draw a straight angle and name it ∠PQR.
  6. Draw a complete angle showing one full turn.

✅ Solutions

Section G Answers

  1. 5 rays
  2. Point O
  3. ∠BOC (Any correct acute angle)
  4. ∠EOB (Any correct obtuse angle)
  5. ∠EOC (Straight angle)
  6. Ray OC

Section H Answers

  1. A line segment is the shortest straight path joining two points.
  2. ∠
  3. Right angle.
  4. Points lying on the same straight line are called collinear points.
  5. Ray.
  6. No. It joins two different points.
  7. Complete angle.
  8. Obtuse angle.
  9. Zero dimensions.
  10. Yes. Many lines can pass through one point.

Section I Answers

  1. A point shows only a position, while a line extends endlessly in both directions.
  2. A straight angle measures 180°, whereas a complete angle measures 360°.
  3. Because a ray begins from one fixed point and extends endlessly in one direction.
  4. Examples: Torch light, laser beam, sunlight, lighthouse beam.
  5. Because it has no endpoints and extends endlessly in both directions.
  6. An interior point lies between the arms of an angle, while an exterior point lies outside the arms.
  7. A line segment directly joins two points without any bend, making it the shortest path.
  8. Examples: Door frame, notebook corner, window, blackboard.

Section J Answers

These are drawing-based questions.
  • ✅ Line Segment AB
  • ✅ Ray CD
  • ✅ Line MN
  • ✅ Acute Angle ∠XYZ
  • ✅ Straight Angle ∠PQR
  • ✅ Complete Angle (360°)

🎯 Learning Outcome

  • Students interpret geometrical figures correctly.
  • Students answer conceptual questions confidently.
  • Students improve reasoning and observation skills.
  • Students practise drawing and labelling geometric figures neatly.
  • All questions are completely different from Practice Sets 1, 2 and 3.

📘 Practice Set 4

Chapter 2 – Lines and Angles

Practice Set 4 – Part 4
This final part contains Higher Order Thinking Skills (HOTS), Competitive/Olympiad Questions and Challenge Yourself activities to strengthen logical reasoning.

⭐ Section K – HOTS Questions

  1. A student says that every reflex angle is greater than a straight angle. Is the statement correct? Give a reason.

  2. Can two line segments intersect at only one point? Explain.

  3. A ray starts from point P and passes through Q. Can point Q become the starting point of the same ray? Why?

  4. Why does changing the length of the arms not change the measure of an angle?

  5. Can three non-collinear points lie on one line? Explain.

  6. Why is a point called a zero-dimensional figure?

  7. A complete angle is made of how many straight angles? Explain.

  8. Explain why opposite rays always have one common endpoint.

🏆 Section L – Competitive / Olympiad Questions

  1. How many degrees are there in one and a half straight angles?

  2. Which type of angle measures 359°?

  3. Which angle is exactly one-fourth of a complete angle?

  4. How many complete angles are equal to 720°?

  5. What is the smaller angle between the hands of a clock at 6:00?

  6. At 12:00, both hands of a clock overlap. Which angle is formed?

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

  8. How many dimensions does a plane have?

  9. Which figure is formed when two rays have the same starting point?

  10. How many right angles together make 360°?

🧠 Challenge Yourself

Try these questions without using the textbook.
  1. Can an angle measure exactly 360°? If yes, what is it called?
  2. Can one point belong to many different rays? Explain.
  3. Draw five rays from one point and name any five different angles.
  4. Write one real-life example each of a point, line, ray and plane.
  5. Why are labelled diagrams important while studying Geometry?

✅ Solutions

⭐ Section K Answers

  1. Yes. A reflex angle is always greater than 180°, so it is greater than a straight angle.
  2. Yes. Two line segments can intersect at exactly one point.
  3. No. The starting point of a ray never changes.
  4. The measure of an angle depends only on the opening between its arms, not on their lengths.
  5. No. Non-collinear points do not lie on the same straight line.
  6. Because a point has no length, width or thickness.
  7. Two straight angles make one complete angle (2 × 180° = 360°).
  8. Opposite rays always start from the same point and extend in opposite directions.

🏆 Section L Answers

  1. 270°
  2. Reflex Angle
  3. Right Angle
  4. 2 Complete Angles
  5. Straight Angle (180°)
  6. Zero Angle
  7. Line
  8. Two dimensions
  9. Angle
  10. 4 Right Angles

🧠 Challenge Yourself – Suggested Answers

  1. Yes. It is called a Complete Angle.
  2. Yes. Many rays can start from the same point.
  3. Students should draw five rays from one point and correctly name any five angles formed.
  4. Point: Dot on a map
    Line: Imaginary straight road extending endlessly
    Ray: Torch light
    Plane: Table top
  5. Labelled diagrams help us identify points, lines, rays and angles correctly and make Geometry easier to understand.

🎉 Practice Set 4 Completed Successfully

  • ✅ MCQs
  • ✅ Fill in the Blanks
  • ✅ True or False
  • ✅ Match the Pairs
  • ✅ Geometric Concepts
  • ✅ Types of Angles
  • ✅ Diagram-based Questions
  • ✅ One Sentence & Short Answer Questions
  • ✅ Drawing Practice
  • ✅ HOTS Questions
  • ✅ Competitive / Olympiad Questions
  • ✅ Challenge Yourself
  • ✅ Fully Cross-Verified Solutions

Excellent! You have successfully completed Practice Set 4. Only Practice Set 5 remains. After completing it, students will have a comprehensive collection of unique practice questions covering every concept in the chapter.

Leave a Comment

Your email address will not be published. Required fields are marked *

error: Content is protected !!