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Question

Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.


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Solution

Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.

Properties of square :

A square is a rectangle with equal sides.

The square, like the rectangle, has diagonals of equal length.

The diagonals of a square are perpendicular bisectors of each other.

Properties of the rhombus :

A rhombus is a quadrilateral with sides of equal length.

The diagonals of a rhombus are perpendicular bisectors of one another.

A rhombus has all the properties of a parallelogram and also that of a kite.

Hence, Rhombus and Square are the quadrilaterals whose diagonals are perpendicular bisectors of each other.


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