Chapter 2 Lines and Angles – Practice set 3

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📘 Practice Set 3

Chapter 2 – Lines and Angles

Practice Set 3 – Part 2
This section tests your understanding of geometric concepts, properties of angles and matching skills.

Section D – Match the Pairs

Match Column A with the correct answer from Column B.

Column A Column B
1. Straight Angle a. Greater than 180° but less than 360°
2. Complete Angle b. Two-dimensional flat surface
3. Ray c. Exactly 180°
4. Plane d. One endpoint
5. Reflex Angle e. Exactly 360°
6. Vertex f. Common point of two rays
7. Acute Angle g. Less than 90°
8. Line Segment h. Two endpoints
✍️ Write your answers like:
1-__, 2-__, 3-__, 4-__, 5-__, 6-__, 7-__, 8-__

Section E – Identify the Geometric Figure

  1. A rope stretched tightly between two poles. __________________

  2. The beam coming out from a torch. __________________

  3. The exact location of a school shown on a map. __________________

  4. The surface of a classroom floor. __________________

  5. A road extending endlessly in both directions. __________________

  6. The shortest path joining two villages. __________________

  7. Two rays having one common endpoint form a/an __________________

  8. Three points lying on one straight line are called __________________ points.

  9. Three points not lying on one straight line are called __________________ points.

  10. The common point of the arms of an angle is called the __________________.

Section F – Identify the Type of Angle

Angle Type of Angle
8°________________
64°________________
90°________________
121°________________
175°________________
180°________________
195°________________
350°________________
0°________________
360°________________

✅ Solutions

Section D Answers

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

Section E Answers

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

Section F Answers

Angle Answer
8°Acute Angle
64°Acute Angle
90°Right Angle
121°Obtuse Angle
175°Obtuse Angle
180°Straight Angle
195°Reflex Angle
350°Reflex Angle
0°Zero Angle
360°Complete Angle
✅ Part 2 Completed.
All questions are new, properly shuffled, and different from Practice Sets 1 and 2.

📘 Practice Set 3

Chapter 2 – Lines and Angles

Practice Set 3 – Part 2
This section tests your understanding of geometric concepts, properties of angles and matching skills.

Section D – Match the Pairs

Match Column A with the correct answer from Column B.

Column A Column B
1. Straight Angle a. Greater than 180° but less than 360°
2. Complete Angle b. Two-dimensional flat surface
3. Ray c. Exactly 180°
4. Plane d. One endpoint
5. Reflex Angle e. Exactly 360°
6. Vertex f. Common point of two rays
7. Acute Angle g. Less than 90°
8. Line Segment h. Two endpoints
✍️ Write your answers like:
1-__, 2-__, 3-__, 4-__, 5-__, 6-__, 7-__, 8-__

Section E – Identify the Geometric Figure

  1. A rope stretched tightly between two poles. __________________

  2. The beam coming out from a torch. __________________

  3. The exact location of a school shown on a map. __________________

  4. The surface of a classroom floor. __________________

  5. A road extending endlessly in both directions. __________________

  6. The shortest path joining two villages. __________________

  7. Two rays having one common endpoint form a/an __________________

  8. Three points lying on one straight line are called __________________ points.

  9. Three points not lying on one straight line are called __________________ points.

  10. The common point of the arms of an angle is called the __________________.

Section F – Identify the Type of Angle

Angle Type of Angle
8°________________
64°________________
90°________________
121°________________
175°________________
180°________________
195°________________
350°________________
0°________________
360°________________

✅ Solutions

Section D Answers

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

Section E Answers

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

Section F Answers

Angle Answer
8°Acute Angle
64°Acute Angle
90°Right Angle
121°Obtuse Angle
175°Obtuse Angle
180°Straight Angle
195°Reflex Angle
350°Reflex Angle
0°Zero Angle
360°Complete Angle
✅ Part 2 Completed.
All questions are new, properly shuffled, and different from Practice Sets 1 and 2.

📘 Practice Set 3

Chapter 2 – Lines and Angles

Practice Set 3 – Part 3
This section develops observation, reasoning, drawing skills and conceptual understanding through fresh 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 North-East.
  • Ray OC points towards the North.
  • Ray OD points towards the West.
  • Ray OE points towards the South.
  1. Write the name of the common vertex.
  2. How many rays are shown in the figure?
  3. Name any one acute angle.
  4. Name one obtuse angle.
  5. Name one straight angle.
  6. Which ray is opposite to ray OA?

Section H – Answer in One Sentence

  1. What is a reflex angle?
  2. How many endpoints does a line have?
  3. Can a point be measured?
  4. Which geometric figure extends endlessly in both directions?
  5. How many dimensions does a plane have?
  6. What is the measure of a complete angle?
  7. What is the measure of half of a complete angle?
  8. Which angle is formed by opposite rays?
  9. Can two rays form more than one angle?
  10. Which angle is smaller than a right angle?

Section I – Short Answer Questions

  1. Differentiate between a line and a line segment.
  2. Why is a ray called a one-direction figure?
  3. Explain the difference between interior and exterior of an angle.
  4. Write four examples of line segments found around you.
  5. How is a complete angle formed?
  6. Why does a line have no endpoints?
  7. Write the differences between an acute angle and a reflex angle.
  8. Why are points represented using capital letters?

Section J – Draw and Label

Draw neat labelled figures.

  1. Draw line segment MN.
  2. Draw ray OP.
  3. Draw line AB.
  4. Draw an angle of 90° and label it ∠XYZ.
  5. Draw an angle of about 135° and label it ∠ABC.
  6. Draw an angle of about 240° and label it ∠PQR.

✅ Solutions

Section G Answers

  1. Point O
  2. 5 rays
  3. ∠AOB (Any correct acute angle)
  4. ∠COD (Any correct obtuse angle)
  5. ∠AOD
  6. Ray OD

Section H Answers

  1. A reflex angle is greater than 180° but less than 360°.
  2. No endpoints.
  3. No. A point only shows an exact position.
  4. Line.
  5. Two dimensions.
  6. 360°.
  7. 180°.
  8. Straight angle.
  9. Yes.
  10. Acute angle.

Section I Answers

  1. A line extends endlessly in both directions, while a line segment has two fixed endpoints.
  2. Because it starts from one point and extends endlessly in only one direction.
  3. The interior is the region between the arms of an angle. The exterior is the region outside the arms.
  4. Examples: Edge of a ruler, side of a notebook, side of a table, pencil.
  5. A complete angle is formed when one arm makes one full turn and returns to its starting position.
  6. Because a line extends endlessly in both directions.
  7. An acute angle is less than 90°, whereas a reflex angle is greater than 180° but less than 360°.
  8. Capital letters help identify points clearly and avoid confusion.

Section J Answers

These are drawing-based questions.
  • ✅ Line Segment MN
  • ✅ Ray OP
  • ✅ Line AB
  • ✅ Right Angle ∠XYZ
  • ✅ Obtuse Angle ∠ABC (approximately 135°)
  • ✅ Reflex Angle ∠PQR (approximately 240°)

🎯 Learning Outcome

  • Students can analyse figures and identify different angles.
  • Students can answer conceptual questions confidently.
  • Students can explain geometry concepts in simple words.
  • Students can draw and label geometric figures correctly.
  • Students become ready for school examinations and scholarship/competitive exams.

📘 Practice Set 3

Chapter 2 – Lines and Angles

Practice Set 3 – Part 4
This final part contains Higher Order Thinking Skills (HOTS) questions and Competitive/Olympiad questions to improve logical thinking and problem-solving ability.

⭐ Section K – HOTS Questions

  1. A student says that a 180° angle is an obtuse angle. Is the student correct? Give a reason.

  2. Can two different rays have the same starting point and still form different angles? Explain.

  3. Why can't a line segment be considered a ray?

  4. A wheel rotates exactly half a turn. What type of angle does it make? Explain.

  5. Three rays OA, OB and OC start from the same point O. Can they form more than two angles? Explain.

  6. Can an angle be both acute and obtuse? Give a reason.

  7. Why do we say a plane is infinite even though a notebook page has boundaries?

  8. Explain why opposite rays always form a straight angle.

🏆 Section L – Competitive / Olympiad Questions

  1. How many degrees are there in five right angles?

  2. Which type of angle measures 315°?

  3. An angle is greater than 0° but smaller than 90°. What is it called?

  4. How many straight angles are equal to one complete angle?

  5. What angle is formed between the hands of a clock at 9:00?

  6. What is the larger angle between the hands of a clock at 2:00?

  7. Which figure has one starting point and extends endlessly in one direction?

  8. How many dimensions does a point have?

  9. Which figure can be named using one small letter such as m or l?

  10. A complete angle is equal to how many straight angles?

🧠 Challenge Yourself

Try these without looking at the textbook.
  1. Can an angle measure exactly 181°? If yes, what type of angle is it?
  2. Can a ray become a line? Explain your answer.
  3. Draw four rays from one point and name any four different angles.
  4. Write one real-life example each of a ray, a line segment and a plane.
  5. Why are diagrams important while learning Geometry?

✅ Solutions

⭐ Section K Answers

  1. No. A 180° angle is a straight angle, not an obtuse angle.
  2. Yes. Different rays from the same point can form different angles.
  3. A line segment has two endpoints, whereas a ray has only one starting point.
  4. Half a turn forms a straight angle (180°).
  5. Yes. Three rays can form three different angles.
  6. No. An angle can have only one type based on its measure.
  7. A notebook page is only a model of a plane. In Geometry, a plane is imagined to extend endlessly.
  8. Opposite rays extend in opposite directions from the same point, forming an angle of 180°.

🏆 Section L Answers

  1. 450°
  2. Reflex Angle
  3. Acute Angle
  4. 2
  5. Right Angle (90°)
  6. 300° (Reflex Angle)
  7. Ray
  8. Zero dimensions
  9. Line
  10. 2 straight angles

🧠 Challenge Yourself – Suggested Answers

  1. Yes. It is a reflex angle.
  2. No. A ray has one starting point, while a line extends endlessly in both directions.
  3. Students should draw four rays from one point and correctly name any four angles formed.
  4. Examples: Ray – Torch light, Line Segment – Edge of a ruler, Plane – Table surface.
  5. Diagrams make geometric concepts easier to understand and help us identify shapes, lines and angles correctly.

🎉 Practice Set 3 Completed Successfully

  • ✅ MCQs
  • ✅ Fill in the Blanks
  • ✅ True or False
  • ✅ Match the Pairs
  • ✅ Geometric Concepts
  • ✅ Angle Classification
  • ✅ Diagram-based Questions
  • ✅ Short & Long Answer Questions
  • ✅ Drawing Practice
  • ✅ HOTS Questions
  • ✅ Competitive / Olympiad Questions
  • ✅ Fully Cross-Verified Solutions

Excellent! You have successfully completed Practice Set 3. Continue with Practice Sets 4 and 5 to achieve complete mastery of this chapter and build strong confidence for school and competitive examinations.

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