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Important Questions Maths Chapter 5 Class 7 Ganit Prakash

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Imp Questions For All Chapters – Ganit Prakash Class 7th

Parallel and Intersecting Lines


1. What are intersecting lines?

Ans: Lines that meet or cross each other at a point are called intersecting lines.

2. How many angles are formed when two lines intersect?

Ans: Four angles are formed.

3. What are vertically opposite angles?

Ans: Angles that are opposite to each other when two lines intersect; they are always equal.

4. Define linear pair of angles.

Ans: A pair of adjacent angles that form a straight line and add up to 180°.

5. What are perpendicular lines?

Ans: Two lines that intersect to form right angles (90°).

6. What are parallel lines?

Ans: Lines on the same plane that never meet, however far they are extended.

7. What is a transversal?

Ans: A line that intersects two or more lines at distinct points.

8. How many angles are formed when a transversal cuts two lines?

Ans: Eight angles are formed.

9. Name the pairs of corresponding angles formed by a transversal.

Ans: ∠1 & ∠5, ∠2 & ∠6, ∠3 & ∠7, ∠4 & ∠8.

10. When are two lines considered parallel using corresponding angles?

Ans: If corresponding angles formed by a transversal are equal, the lines are parallel.

11. What are alternate angles?

Ans: Angles that lie on opposite sides of the transversal but between the two lines; they are equal when lines are parallel.

12. What is the sum of interior angles on the same side of a transversal intersecting parallel lines?

Ans: 180°.

13. If ∠a = 120°, what is the measure of its linear pair ∠b?

Ans: ∠b = 180° – 120° = 60°.

14. If two lines intersect and form all angles of 90°, what are they called?

Ans: Perpendicular lines.

15. In a figure, ∠f = 120°, find the measure of its alternate angle ∠d.

Ans: ∠d = 120°, because alternate angles are equal when lines are parallel.

16. If two parallel lines are intersected by a transversal and one of the corresponding angles is 75°, what is the measure of its corresponding angle?

Ans: 75°.

17. How can you verify that two lines are parallel using a set square?

Ans: By ensuring the angles formed with a transversal are equal (usually 90° using a set square).

18. Why might angle measurements taken with a protractor not always match theoretical values?

Ans: Due to drawing thickness, human error, or inaccurate instrument use.

19. A transversal intersects two lines and forms one angle as 50°. What are the values of the vertically opposite and corresponding angles?

Ans: Vertically opposite = 50°, corresponding = 50°.

20. In a figure, if ∠3 = 50°, what is the measure of interior angle on the same side of the transversal (∠6)?

Ans: ∠6 = 180° – 50° = 130°.

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