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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