Question

Assertion: The diagonals of a parallelogram are perpendicular bisectors of each other.

Reason: If the diagonals of a parallelogram are equal and intersect each other at right angles then the parallelogram is a square.

(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
(c) Assertion is true, but Reason is false.
(d) Assertion is false, but Reason is true.​

Answer 1

The diagonals of a parallelogram are not always perpendicular bisectors of each other.

Step-by-step explanation:

The statement is true, but the reason is false. The diagonals of a parallelogram are not always perpendicular bisectors of each other. In a parallelogram, the diagonals bisect each other, meaning they divide each other into two equal parts. However, they may or may not be perpendicular to each other.

For example, consider a parallelogram ABCD with diagonals AC and BD. If AC and BD intersect at a 90° angle, then the parallelogram is a square. But if AC and BD do not intersect at a 90° angle, the parallelogram is not a square.