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If the diagonals of a parallelogram are equal and intersect at
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If the diagonals of a parallelogram are equal and intersect at right angles, then the parallelogram is a square.

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If the diagonals of a parallelogram are equal and intersect at right angles, then the parallelogram is a square.
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Practice questions from similar books

Question 1
 is a rectangle in which diagonal bisects as well as . Show that is a square.

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Question 2
A quadrilateral whose each angle is a right angle is a square                         (b) rectangle            rhombus                     (d)  parallelogram

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Question 3
Two segments and bisect each other at . Prove that is a parallelogram.

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Question 4
The diagonals of a quadrilateral are perpendicular to each other. Prove that the quadrilateral formed by joining the midpoints of its sides is a rectangle.

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Question Text
If the diagonals of a parallelogram are equal and intersect at right angles, then the parallelogram is a square.