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Question

Explain how a square is:

(i) A parallelogram
(ii) A rhombus


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Solution

(i) A parallelogram is a quadrilateral whose both pairs of opposite sides are equal and parallel, both pairs of opposite angles are equal and diagonals bisect each other.
Since, a square satisfies all the properties of a parallelogram, a square is also a parallelogram.

(ii) A square is a rhombus because it has four equal sides and diagonals bisect at 90 to each other.

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