Class: 6 Chapter: 2 LINES AND ANGLES – WORKSHEET-2

 Class 6 Mathematics Worksheet

Chapter 2: Lines and Angles
Based on NCERT - Competency & Application Focused

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📘 Topic 1: Points, Lines, Line Segments, and Rays

1. Define the following with diagrams:
   a) Point
   b) Line
   c) Line Segment
   d) Ray

2. Identify the figures and name them:
   (Diagram: A line with arrows on both ends, a line with a start point and one arrow, a segment with two endpoints, a single dot)

3. Multiple Choice: How many lines can pass through two distinct points?
   a) One
   b) Two
   c) Infinite
   d) None

4. True/False:
   a) A ray has two endpoints. (False)
   b) A line is infinite. (True)

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📌 Topic 2: Intersecting and Parallel Lines

5. Draw two intersecting lines and label them.

6. Draw two parallel lines and label them.

7. Real-life example of parallel lines: ________________

8. Assertion-Reason:

   • A: Railway tracks are parallel lines.

   • R: Parallel lines never meet.

   • a) A and R are true, and R is the correct explanation of A

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✏️ Topic 3: Types of Angles

9. Match the angles:
   a) Acute - (ii) less than 90°
   b) Right - (i) exactly 90°
   c) Obtuse - (iii) more than 90° less than 180°

10. Draw:
    a) One acute angle
    b) One right angle
    c) One obtuse angle
    d) One straight angle
    e) One reflex angle

11. Fill in the blanks:
    a) An angle more than 180° is a __________ angle. (Reflex)
    b) An angle of 180° is a __________ angle. (Straight)

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🔍 Topic 4: Pair of Angles

12. Define:

• Complementary angles

• Supplementary angles

13. If ∠A = 65°, find its complement. (25°)

14. If ∠X + ∠Y = 180° and ∠X = 70°, find ∠Y. (110°)

15. Draw and show adjacent angles.

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⚖️ Topic 5: Properties of Angles on a Line and at a Point

16. What is the sum of angles on a straight line? (180°)

17. State the vertically opposite angles property. (Equal)

18. If two angles form a straight line and one is 110°, what is the other? (70°)

19. In the figure, two lines intersect. One angle is 60°. Find the remaining angles. (60°, 120°, 120°)

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🧐 Application-based Questions

20. A book opens forming a 45° angle. Type of angle: ___________ (Acute)

21. A ladder leans forming a 90° angle. Type: ___________ (Right)

22. If ∠X = 2∠Y and ∠X + ∠Y = 180°, find ∠X and ∠Y. (120°, 60°)

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🪤 Assertion and Reasoning

23. A: Two lines can intersect at two points.
    R: Lines can bend.
    Answer: c) A is false, R is true

24. A: Vertically opposite angles are equal.
    R: They are formed by intersecting lines.
    Answer: a) Both A and R are correct, R explains A

25. A: An acute angle can be supplementary.
    R: Acute angles are less than 90°.
    Answer: c) A is false, R is true

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📄 Case-based Questions

Case 1: Star-shaped stick model
26. Identify two types of angles formed: (Acute, Obtuse)
27. Are there vertically opposite angles? (Yes)
28. Count the acute angles. (Depends on diagram)

Case 2: Diagonal in a rectangle
29. What types of lines are visible? (Parallel, intersecting)
30. Does the diagonal form right angles? (No)
31. Sum of internal angles of rectangle: (360°)

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🤯 HOTS (Higher Order Thinking)

32. Can two obtuse angles be supplementary? (No, their sum exceeds 180°)

33. Draw two angles whose sum is 180° but are not adjacent.

34. A straight line makes two angles 3x and x. Find x. (45°)

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🔠 Mixed MCQs & Fill in the Blanks

35. A 360° angle is called: __________ (Complete angle)

36. A ray has ______ endpoints. (One)

37. Supplement of 95° is ______. (85°)

38. Name an obtuse angle from this list: 45°, 60°, 100°, 90° (100°)

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📚 Answer Key 

1. a) Point: A dot.
   b) Line: Infinite in both directions.
   c) Segment: Line with endpoints.
   d) Ray: One endpoint.

2. a) One

3. a) False, b) True

4. a-ii, b-i, c-iii

5. a) Reflex b) Straight

6. 25°

7. 110°

8. 180°

9. Equal angles

10. 70°

11. 120° and 60°

12. x = 45°