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PQRS is a quadrilateral in which PQ = PS and RQ = RS. which of the following statements is true about this quadrilateral?
Question

PQRS is a quadrilateral in which PQ = PS and RQ = RS. which of the following statements is true about this quadrilateral?

A.

Each diagonal bisects the angle at each vertex.

B.

Its diagonals bisect each other.

C.

Its diagonals are perpendicular to each other.

D.

Its diagonals are equal.

Correct option is C

Since PQ = PS and RQ = RS, it implies that the sides PQ and RQ are equal in length and parallel to each other. This means that PQRS is a rectangle.
In a rectangle, the diagonals are always perpendicular to each other and bisect each other.
Therefore, the correct answer is (c) Its diagonals are perpendicular to each other.

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