NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Multiple Choice Questions
Question 6

Question. 6

In Fig. 6.8 which of the following is a regular polygon?

(A)

(i)

(B)

(ii)

(C)

(iii)

(D)

(iv)

Detailed Answer with Explanation:

Step 1: Understand “regular polygon”.

A polygon is a closed shape made of straight sides.
A regular polygon has all sides equal and all angles equal.

Step 2: Check each figure.

(i) Rectangle

Opposite sides are equal, but all four sides are not equal.
All angles are 90°, so angles are equal.
Not regular (fails the “all sides equal” test).

(ii) Square

All four sides are equal.
All angles are 90°, so angles are equal.
Regular (passes both tests).

(iii) Rhombus

All four sides are equal.
Angles are not all equal (only opposite angles are equal).
Not regular (fails the “all angles equal” test).

(iv) Irregular quadrilateral

Sides are not all equal.
Angles are not all equal.
Not regular.

Final answer: Figure (ii) is a regular polygon (a square). So, choose option B.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 6: Mensuration – Multiple Choice Questions | Detailed Answers