CBSE Class 7 Maths Chapter 5: Parallel and Intersecting Lines — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 5: Parallel and Intersecting Lines from the NCERT Class 7 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): Intersecting lines meet at one point in a plane.
Reason (R): Their meeting creates four angles around the intersection.
Reason (R): Their meeting creates four angles around the intersection.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The common point defines the intersection.
2
Assertion (A): Vertically opposite angles are equal.
Reason (R): Adjacent angles on a straight line sum to 180 degrees.
Reason (R): Adjacent angles on a straight line sum to 180 degrees.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the linear-pair fact is distinct.
3
Assertion (A): When two lines intersect, adjacent angles form a linear pair.
Reason (R): Adjacent angles are always equal.
Reason (R): Adjacent angles are always equal.
Answer: (c)
A is true, but R is false. They sum to 180 degrees but need not be equal.
4
Assertion (A): Perpendicular lines never intersect.
Reason (R): They intersect to form right angles.
Reason (R): They intersect to form right angles.
Answer: (d)
A is false, but R is true. Perpendicular lines meet at 90 degrees.
5
Assertion (A): Parallel lines in a plane do not meet even when extended.
Reason (R): They remain the same perpendicular distance apart.
Reason (R): They remain the same perpendicular distance apart.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Constant separation characterises parallel lines.
6
Assertion (A): Two horizontal lines in the same plane can be parallel.
Reason (R): A vertical line is perpendicular to a horizontal line.
Reason (R): A vertical line is perpendicular to a horizontal line.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the perpendicular example does not explain parallelism.
7
Assertion (A): Two lines perpendicular to the same line are parallel in a plane.
Reason (R): They must intersect each other.
Reason (R): They must intersect each other.
Answer: (c)
A is true, but R is false. Both have the same direction.
8
Assertion (A): Two distinct parallel lines can share a point.
Reason (R): Distinct lines sharing a point intersect.
Reason (R): Distinct lines sharing a point intersect.
Answer: (d)
A is false, but R is true. Parallel lines have no common point.
9
Assertion (A): A transversal intersects two or more lines at distinct points.
Reason (R): It creates sets of corresponding and alternate angles.
Reason (R): It creates sets of corresponding and alternate angles.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. These angle pairs arise from the two intersections.
10
Assertion (A): When a transversal crosses parallel lines, corresponding angles are equal.
Reason (R): Alternate interior angles are also equal.
Reason (R): Alternate interior angles are also equal.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second does not explain the first.
11
Assertion (A): For parallel lines cut by a transversal, corresponding angles are equal.
Reason (R): They are always supplementary.
Reason (R): They are always supplementary.
Answer: (c)
A is true, but R is false. Equality is the relevant property.
12
Assertion (A): Alternate interior angles lie outside the two lines.
Reason (R): They lie between the two lines on opposite sides of the transversal.
Reason (R): They lie between the two lines on opposite sides of the transversal.
Answer: (d)
A is false, but R is true. The stated location defines them.
13
Assertion (A): If corresponding angles are equal, the two lines are parallel.
Reason (R): The converse of the corresponding-angle property provides a parallel-line test.
Reason (R): The converse of the corresponding-angle property provides a parallel-line test.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Equal corresponding angles establish parallelism.
14
Assertion (A): Interior angles on the same side of a transversal sum to 180 degrees for parallel lines.
Reason (R): Vertically opposite angles are equal at each intersection.
Reason (R): Vertically opposite angles are equal at each intersection.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but vertical equality does not alone explain the co-interior sum.
15
Assertion (A): Equal alternate interior angles can establish that two lines are parallel.
Reason (R): Unequal alternate angles prove the lines parallel.
Reason (R): Unequal alternate angles prove the lines parallel.
Answer: (c)
A is true, but R is false. The parallel-line test requires equality.
16
Assertion (A): A transversal must be perpendicular to the lines it crosses.
Reason (R): A transversal may cross at any nonzero angle.
Reason (R): A transversal may cross at any nonzero angle.
Answer: (d)
A is false, but R is true. Perpendicularity is not required.
17
Assertion (A): Paper folding can construct perpendicular bisectors.
Reason (R): A fold matching two points creates a crease equidistant from them.
Reason (R): A fold matching two points creates a crease equidistant from them.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Every point on the crease is equally distant from the pair.
18
Assertion (A): A line perpendicular to one of two parallel lines is perpendicular to the other.
Reason (R): Vertically opposite angles are equal.
Reason (R): Vertically opposite angles are equal.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but vertical-angle equality does not explain this parallel-line property.
19
Assertion (A): Corresponding angles of 70 and 110 degrees do not establish parallel lines.
Reason (R): Corresponding angles must be unequal for parallel lines.
Reason (R): Corresponding angles must be unequal for parallel lines.
Answer: (c)
A is true, but R is false. They must be equal.
20
Assertion (A): All pairs of non-intersecting segments lie on parallel lines.
Reason (R): Segments may fail to meet merely because they are too short, while their extended lines intersect.
Reason (R): Segments may fail to meet merely because they are too short, while their extended lines intersect.
Answer: (d)
A is false, but R is true. Parallelism concerns the full lines.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 5 Parallel and Intersecting Lines?
This chapter covers all key topics from Parallel and Intersecting Lines as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 7 board exam preparation covering the complete syllabus.
Are these CBSE Class 7 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 7 Maths?
All chapters of CBSE Class 7 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
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