CBSE Class 6 Maths Chapter 8: Playing with Constructions — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 8: Playing with Constructions 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 compass draws circles with a fixed radius.
Reason (R): Every point on the circle is equidistant from its centre.
Reason (R): Every point on the circle is equidistant from its centre.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The fixed opening maintains equal distance.
2
Assertion (A): A compass draws circles with a fixed radius.
Reason (R): A ruler draws straight lines.
Reason (R): A ruler draws straight lines.
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 compass draws circles with a fixed radius.
Reason (R): A compass directly measures angle degrees.
Reason (R): A compass directly measures angle degrees.
Answer: (c)
A is true, but R is false. A protractor measures degrees.
4
Assertion (A): A compass can draw only line segments.
Reason (R): Every point on the circle is equidistant from its centre.
Reason (R): Every point on the circle is equidistant from its centre.
Answer: (d)
A is false, but R is true. The compass draws arcs and circles.
5
Assertion (A): A square has four equal sides and four right angles.
Reason (R): Its construction must satisfy both length and perpendicularity conditions.
Reason (R): Its construction must satisfy both length and perpendicularity conditions.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Both conditions ensure the intended figure.
6
Assertion (A): A square has four equal sides and four right angles.
Reason (R): A rectangle has equal opposite sides.
Reason (R): A rectangle has equal opposite sides.
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 equal sides and four right angles.
Reason (R): A square may have unequal adjacent sides.
Reason (R): A square may have unequal adjacent sides.
Answer: (c)
A is true, but R is false. All square sides are equal.
8
Assertion (A): A rhombus with non-right angles is always a square.
Reason (R): Its construction must satisfy both length and perpendicularity conditions.
Reason (R): Its construction must satisfy both length and perpendicularity conditions.
Answer: (d)
A is false, but R is true. Right angles are also required.
9
Assertion (A): A rectangle has equal diagonals that bisect each other.
Reason (R): Its opposite sides are parallel and all angles are right angles.
Reason (R): Its opposite sides are parallel and all angles are right angles.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Rectangle structure yields equal bisecting diagonals.
10
Assertion (A): A rectangle has equal diagonals that bisect each other.
Reason (R): A square is a special rectangle.
Reason (R): A square is a special rectangle.
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): A rectangle has equal diagonals that bisect each other.
Reason (R): Rectangle diagonals are always perpendicular.
Reason (R): Rectangle diagonals are always perpendicular.
Answer: (c)
A is true, but R is false. They need not be perpendicular unless it is a square.
12
Assertion (A): A rectangle's diagonals never meet.
Reason (R): Its opposite sides are parallel and all angles are right angles.
Reason (R): Its opposite sides are parallel and all angles are right angles.
Answer: (d)
A is false, but R is true. They intersect at their common midpoint.
13
Assertion (A): The diagonals of a square are equal and perpendicular bisectors of each other.
Reason (R): A square combines rectangle and rhombus properties.
Reason (R): A square combines rectangle and rhombus properties.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The combined properties explain all stated features.
14
Assertion (A): The diagonals of a square are equal and perpendicular bisectors of each other.
Reason (R): A square has rotational symmetry.
Reason (R): A square 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.
15
Assertion (A): The diagonals of a square are equal and perpendicular bisectors of each other.
Reason (R): Only one diagonal bisects the other.
Reason (R): Only one diagonal bisects the other.
Answer: (c)
A is true, but R is false. They bisect each other mutually.
16
Assertion (A): Square diagonals have different lengths.
Reason (R): A square combines rectangle and rhombus properties.
Reason (R): A square combines rectangle and rhombus properties.
Answer: (d)
A is false, but R is true. They are equal.
17
Assertion (A): Points on the perpendicular bisector of a segment are equidistant from its endpoints.
Reason (R): Equal-radius arcs from the endpoints locate such points.
Reason (R): Equal-radius arcs from the endpoints locate such points.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The compass construction encodes equal distances.
18
Assertion (A): Points on the perpendicular bisector of a segment are equidistant from its endpoints.
Reason (R): Two circles can intersect in two points.
Reason (R): Two circles can intersect in two points.
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): Points on the perpendicular bisector of a segment are equidistant from its endpoints.
Reason (R): The perpendicular bisector passes through only one endpoint.
Reason (R): The perpendicular bisector passes through only one endpoint.
Answer: (c)
A is true, but R is false. It passes through the midpoint, not an endpoint generally.
20
Assertion (A): A point on the perpendicular bisector is closer to one endpoint.
Reason (R): Equal-radius arcs from the endpoints locate such points.
Reason (R): Equal-radius arcs from the endpoints locate such points.
Answer: (d)
A is false, but R is true. The distances are equal.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 8 Playing with Constructions?
This chapter covers all key topics from Playing with Constructions 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 Playing with Constructions online for free?
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