CBSE Class 6 Maths Chapter 9: Symmetry — Assertion & Reason
Download Exam Special Books for CBSE Class 6
Expert crafted · Instant PDF download · 2026-27
The following Assertion and Reason questions are based on Chapter 9: Symmetry from the NCERT Class 6 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): A line of symmetry divides a figure into mirror-image halves.
Reason (R): Folding along the line makes corresponding points coincide.
Reason (R): Folding along the line makes corresponding points coincide.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Fold superposition explains reflection symmetry.
2
Assertion (A): A line of symmetry divides a figure into mirror-image halves.
Reason (R): A circle has rotational symmetry.
Reason (R): A circle has rotational symmetry.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
3
Assertion (A): A line of symmetry divides a figure into mirror-image halves.
Reason (R): A line of symmetry need not map the figure onto itself.
Reason (R): A line of symmetry need not map the figure onto itself.
Answer: (c)
A is true, but R is false. Mapping onto itself is required.
4
Assertion (A): A scalene triangle has a line of symmetry.
Reason (R): Folding along the line makes corresponding points coincide.
Reason (R): Folding along the line makes corresponding points coincide.
Answer: (d)
A is false, but R is true. A scalene triangle has no reflection symmetry.
5
Assertion (A): A square has four lines of symmetry.
Reason (R): Its two medians and two diagonals are reflection axes.
Reason (R): Its two medians and two diagonals are reflection axes.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The four axes account for all reflections.
6
Assertion (A): A square has four lines of symmetry.
Reason (R): A rectangle has rotational symmetry of order 2.
Reason (R): A rectangle has rotational symmetry of order 2.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
7
Assertion (A): A square has four lines of symmetry.
Reason (R): A square has only one line of symmetry.
Reason (R): A square has only one line of symmetry.
Answer: (c)
A is true, but R is false. There are four, not one.
8
Assertion (A): A general rectangle has four lines of symmetry.
Reason (R): Its two medians and two diagonals are reflection axes.
Reason (R): Its two medians and two diagonals are reflection axes.
Answer: (d)
A is false, but R is true. A non-square rectangle has two reflection axes.
9
Assertion (A): An equilateral triangle has three lines of symmetry.
Reason (R): Each line passes through a vertex and the midpoint of the opposite side.
Reason (R): Each line passes through a vertex and the midpoint of the opposite side.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The three vertex-midpoint axes map it onto itself.
10
Assertion (A): An equilateral triangle has three lines of symmetry.
Reason (R): An isosceles triangle has at least one line of symmetry.
Reason (R): An isosceles triangle has at least one line of symmetry.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
11
Assertion (A): An equilateral triangle has three lines of symmetry.
Reason (R): An equilateral triangle has no reflection symmetry.
Reason (R): An equilateral triangle has no reflection symmetry.
Answer: (c)
A is true, but R is false. The assertion has three axes.
12
Assertion (A): A scalene triangle has three lines of symmetry.
Reason (R): Each line passes through a vertex and the midpoint of the opposite side.
Reason (R): Each line passes through a vertex and the midpoint of the opposite side.
Answer: (d)
A is false, but R is true. A scalene triangle has none.
13
Assertion (A): A figure has rotational symmetry when a turn less than 360 degrees maps it onto itself.
Reason (R): The smallest such turn determines its rotational order through 360 divided by the angle.
Reason (R): The smallest such turn determines its rotational order through 360 divided by the angle.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. A smaller matching turn establishes nontrivial rotational symmetry.
14
Assertion (A): A figure has rotational symmetry when a turn less than 360 degrees maps it onto itself.
Reason (R): A full turn always returns a figure to itself.
Reason (R): A full turn always returns a figure to itself.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
15
Assertion (A): A figure has rotational symmetry when a turn less than 360 degrees maps it onto itself.
Reason (R): Only a full 360-degree turn can count.
Reason (R): Only a full 360-degree turn can count.
Answer: (c)
A is true, but R is false. The definition requires a turn less than a full turn.
16
Assertion (A): A rectangle has no rotational symmetry.
Reason (R): The smallest such turn determines its rotational order through 360 divided by the angle.
Reason (R): The smallest such turn determines its rotational order through 360 divided by the angle.
Answer: (d)
A is false, but R is true. A rectangle matches after 180 degrees.
17
Assertion (A): A square has rotational symmetry of order 4.
Reason (R): It matches itself after turns of 90, 180, 270 and 360 degrees.
Reason (R): It matches itself after turns of 90, 180, 270 and 360 degrees.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Four quarter-turn positions give order 4.
18
Assertion (A): A square has rotational symmetry of order 4.
Reason (R): A circle has many lines of symmetry.
Reason (R): A circle has many lines of symmetry.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
19
Assertion (A): A square has rotational symmetry of order 4.
Reason (R): Its smallest matching turn is 180 degrees.
Reason (R): Its smallest matching turn is 180 degrees.
Answer: (c)
A is true, but R is false. The smallest matching turn is 90 degrees.
20
Assertion (A): A square has rotational order 2 only.
Reason (R): It matches itself after turns of 90, 180, 270 and 360 degrees.
Reason (R): It matches itself after turns of 90, 180, 270 and 360 degrees.
Answer: (d)
A is false, but R is true. It matches four times in a full turn.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 9 Symmetry?
This chapter covers all key topics from Symmetry as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 6 board exam preparation covering the complete syllabus.
Are these CBSE Class 6 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 6 Maths?
All chapters of CBSE Class 6 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Symmetry online for free?
Yes, complete Assertion & Reason for Symmetry is available free at eBookPublisher. Study online directly — no download needed.
Where can I get a complete Assertion & Reason book for CBSE Class 6 Maths?
You can purchase the complete expert-crafted Assertion & Reason book for CBSE Class 6 Maths at eBookPublisher.in. Instant PDF download after payment.