Class: 6 Chapter: 2 LINES AND ANGLES – WORKSHEET-1

 

📝 LINES AND ANGLES – WORKSHEET

Class: 6
Chapter: 2 – Lines and Angles
Total Questions: 52
Types: Objective, Very Short Answer, Short Answer, Case-based, Assertion-Reasoning

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📘 Topic-wise Question Bank

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📌 1. Understanding Points, Lines, Line Segments, and Rays

Competency: Identify and differentiate between basic geometrical figures.

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

2. Which of the following represents a ray?
   a) AB↔
   b) AB→
   c) AB←→
   d) AB

3. True or False:
   a) A line has two endpoints.
   b) A point has a definite length.

4. Draw a diagram to show:
   a) Two rays with a common endpoint.
   b) Two intersecting lines.

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

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📌 2. Intersecting and Parallel Lines

Competency: Visualize intersecting and parallel lines in real life.

6. Define intersecting lines.

7. Define parallel lines with a real-life example.

8. Draw two pairs of parallel lines and label them.

9. Identify whether the following pairs of lines are intersecting or parallel.
   a) Railway tracks
   b) Scissors blades

10. Assertion (A): Railway tracks are parallel lines.
    Reason (R): Parallel lines meet at some point.
    a) A and R are true, and R is correct explanation of A
    b) A and R are true, but R is not correct explanation of A
    c) A is true, R is false
    d) A is false, R is true

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📌 3. Angles and Their Types

Competency: Identify, classify, and measure angles.

11. Define an angle.

12. What is the vertex of an angle?

13. Match the following:

• Acute angle → (i) 90°

• Right angle → (ii) less than 90°

• Obtuse angle → (iii) greater than 90° and less than 180°

14. Draw one angle of each type: acute, obtuse, right, straight, reflex.

15. Fill in the blanks:
    a) An angle more than 180° but less than 360° is called a ______ angle.
    b) An angle of 180° is called a ______ angle.

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📌 4. Pair of Angles

Competency: Understand complementary, supplementary, adjacent, and vertically opposite angles.

16. Define complementary angles. Give one pair.

17. Define supplementary angles. Give one pair.

18. If ∠A = 35°, what is its complement?

19. If ∠X + ∠Y = 180°, and ∠X = 60°, find ∠Y.

20. Draw and show a pair of adjacent angles.

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📌 5. Properties of Angles on a Straight Line and at a Point

Competency: Apply angle properties to solve problems.

21. What is the sum of angles on a straight line?

22. State the vertically opposite angle property.

23. Find the missing angle:
    ∠A + ∠B = 180°, ∠A = 120°.

24. Find the vertically opposite angle of 75°.

25. In a figure, if two lines intersect and one angle is 50°, find all other angles.

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🧠 Competency-Based Questions

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📘 6. Application Questions

26. Ria opens a book and notices the angle between the two pages is around 40°. What type of angle is it?

27. A ladder leans against a wall forming an angle of 90° with the ground. What type of angle is this?

28. Find the supplementary angle of 89°.

29. Estimate and draw an angle of approximately 150°.

30. The hour and minute hands of a clock at 3 PM form what kind of angle?

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📘 7. Assertion-Reasoning Type

31. Assertion (A): Two lines can intersect at two points.
    Reason (R): Lines can bend in space.
    a) Both A and R are correct and R explains A
    b) Both A and R are correct but R doesn’t explain A
    c) A is false, R is true
    d) A is true, R is false

32. Assertion (A): A straight angle measures 180°.
    Reason (R): Straight angle lies on a straight line.
    a) Both A and R are correct and R explains A
    b) Both A and R are correct but R doesn’t explain A
    c) A is false, R is true
    d) A is true, R is false

33. Assertion (A): All vertically opposite angles are equal.
    Reason (R): They are formed by intersecting lines.
    Choose the correct option.

34. Assertion (A): An acute angle can never be a supplementary angle.
    Reason (R): Acute angle is less than 90°.

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📘 8. Case Study Based

Case Study 1:

Priya made a star using sticks. She noticed many intersecting lines and angles at the center of the star.
35. Identify at least two types of angles formed at the center.
36. Are there any vertically opposite angles? Prove with values.
37. How many acute angles can be formed in such a star?

Case Study 2:

In a classroom, the blackboard is rectangular and mounted flat on the wall. A diagonal is drawn.
38. Identify all the types of lines and angles in the figure.
39. Is the diagonal forming any right or obtuse angles? Justify.
40. Find the sum of all angles inside the rectangle.

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📘 9. Higher Order Thinking Skills (HOTS)

41. Draw two rays that make exactly 90° angle without using a protractor.

42. Can two obtuse angles be supplementary? Explain with a counterexample.

43. Give two real-life examples where vertically opposite angles are observed.

44. A triangle has one right angle. What is the sum of the other two angles?

45. A straight line forms two adjacent angles. One is 3x and the other is x. Find x.

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📘 10. Mixed MCQs & Fill in the Blanks

46. Which of the following is not an angle?
    a) ∠A
    b) 90°
    c) AB
    d) ∠XYZ

47. Lines that never meet are called ________.

48. An angle of 360° is called a ________ angle.

49. A ray has ______ endpoint(s).

50. Two angles are supplementary. One is twice the other. Find both.