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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Similar questions

Name the quadrilaterals whose diagonals.

(i) bisect each other

(ii) are perpendicular bisectors of each other

(iii) are equal

Question 4 (ii)
Name the quadrilateral whose diagonals:

(ii) Are perpendicular bisectors of each other.

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