Choose the quadrilateral from the given options whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles.

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Rhombus

Parallelogram

Square

Rectangle

answer is A.

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Detailed Solution

Here, we have to choose the quadrilateral in which all the sides and opposite angle pairs are equal, and the diagonals bisect each other at right angles.
So, if we consider the property of all sides being equal, then of the given options, we have a rhombus and a square which hold this property.
Next, if we consider the property of opposite angles being equal, then rhombus is the quadrilateral which holds this property as the square has all its interior angles equal, i.e., right angles.
Also, for a rhombus, the diagonals are perpendicular at their point of intersection and bisect each other.
Thus, we conclude that rhombus is the quadrilateral which has all its sides equal, opposite angles equal and the diagonals bisect each other at right angles.
Hence, the correct option is (1).

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