CBSE Class 7 Maths Chapter 9: Geometric Twins — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 9: Geometric Twins 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): Congruent figures have the same shape and size.
Reason (R): One can be placed exactly over the other by a rigid motion.
Reason (R): One can be placed exactly over the other by a rigid motion.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Exact superposition characterises congruence.
2
Assertion (A): Two congruent triangles have equal corresponding sides.
Reason (R): Their corresponding angles are also equal.
Reason (R): Their corresponding angles are also equal.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true consequences, but the angle statement does not explain every side equality.
3
Assertion (A): Different triangle shapes can have the same area.
Reason (R): Two triangles with equal areas must be congruent.
Reason (R): Two triangles with equal areas must be congruent.
Answer: (c)
A is true, but R is false. Equal area alone is insufficient.
4
Assertion (A): Similar-sized drawings are always congruent even if their shapes differ.
Reason (R): Congruence requires both shape and size to agree.
Reason (R): Congruence requires both shape and size to agree.
Answer: (d)
A is false, but R is true. Size alone does not establish congruence.
5
Assertion (A): SSS congruence uses equality of all three corresponding sides.
Reason (R): Three fixed valid side lengths determine a triangle up to reflection.
Reason (R): Three fixed valid side lengths determine a triangle up to reflection.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The side constraints fix its shape and size.
6
Assertion (A): SAS congruence uses two sides and the included angle.
Reason (R): ASA uses two angles and their included side.
Reason (R): ASA uses two angles and their included side.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true criteria, but ASA does not explain SAS.
7
Assertion (A): Such data can sometimes produce two different triangles.
Reason (R): Two sides and a non-included angle always guarantee congruence.
Reason (R): Two sides and a non-included angle always guarantee congruence.
Answer: (c)
A is true, but R is false. This ambiguous case is not a general congruence test.
8
Assertion (A): AAA is a congruence criterion.
Reason (R): Equal angles determine shape but not size.
Reason (R): Equal angles determine shape but not size.
Answer: (d)
A is false, but R is true. AAA gives similarity, not necessarily congruence.
9
Assertion (A): RHS congruence applies to right triangles.
Reason (R): Equality of hypotenuse and one corresponding leg fixes the triangle.
Reason (R): Equality of hypotenuse and one corresponding leg fixes the triangle.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The right angle plus those sides determines it.
10
Assertion (A): CPCT means corresponding parts of congruent triangles are equal.
Reason (R): Reflection does not change lengths or angles.
Reason (R): Reflection does not change lengths or angles.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the reflection fact does not define CPCT.
11
Assertion (A): The written correspondence ABC to PQR pairs A with P.
Reason (R): In congruent triangles ABC and PQR, A must correspond to R regardless of order.
Reason (R): In congruent triangles ABC and PQR, A must correspond to R regardless of order.
Answer: (c)
A is true, but R is false. Order records matching vertices.
12
Assertion (A): Congruence can change under rotation.
Reason (R): Rigid rotations preserve all distances and angles.
Reason (R): Rigid rotations preserve all distances and angles.
Answer: (d)
A is false, but R is true. Rotated copies remain congruent.
13
Assertion (A): Angles opposite equal sides of an isosceles triangle are equal.
Reason (R): Swapping the equal sides gives a congruent reflected triangle.
Reason (R): Swapping the equal sides gives a congruent reflected triangle.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Congruence pairs the base angles.
14
Assertion (A): An equilateral triangle is isosceles under an at-least-two-equal-sides definition.
Reason (R): Every equilateral angle is 60 degrees.
Reason (R): Every equilateral angle is 60 degrees.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the angle value does not explain the side-based inclusion.
15
Assertion (A): It may have exactly two equal sides and two equal angles.
Reason (R): An isosceles triangle always has three equal angles.
Reason (R): An isosceles triangle always has three equal angles.
Answer: (c)
A is true, but R is false. Only the equilateral case has three equal angles.
16
Assertion (A): A triangle with two equal angles must be scalene.
Reason (R): Sides opposite equal angles are equal.
Reason (R): Sides opposite equal angles are equal.
Answer: (d)
A is false, but R is true. It is isosceles.
17
Assertion (A): A perpendicular bisector consists of points equidistant from a segment's endpoints.
Reason (R): Equal-distance triangles formed to the endpoints can be proved congruent.
Reason (R): Equal-distance triangles formed to the endpoints can be proved congruent.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Congruence establishes the locus property.
18
Assertion (A): Congruence symbols should list vertices in corresponding order.
Reason (R): A triangle can be renamed cyclically without changing it.
Reason (R): A triangle can be renamed cyclically without changing it.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but renaming does not explain every correspondence.
19
Assertion (A): Their third corresponding sides differ.
Reason (R): Two triangles with sides 3,4,5 and 3,4,6 are congruent.
Reason (R): Two triangles with sides 3,4,5 and 3,4,6 are congruent.
Answer: (c)
A is true, but R is false. SSS fails.
20
Assertion (A): Congruent figures can have different perimeters.
Reason (R): Corresponding side lengths are equal.
Reason (R): Corresponding side lengths are equal.
Answer: (d)
A is false, but R is true. Equal sides give equal perimeters.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 9 Geometric Twins?
This chapter covers all key topics from Geometric Twins 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.
Can I study Geometric Twins online for free?
Yes, complete Assertion & Reason for Geometric Twins is available free at eBookPublisher. Study online directly — no download needed.
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