Figure pqrs is a rectangle. which statement is not necessarily true?

 Option (D) is correct.

Step-by-step explanation:  Given that PQRS is a rectangle in the figure. We are to select the statement which is not necessarily true.

We know that, in a RECTANGLE,

(i) Opposite sides are parallel and congruent,

(ii) Each angle is a right angle (90°).

Since PQRS is a rectangle, so we have

PQ ║ RS, PQ ≅ RS,

PS ║ QR, PS ≅ QR,

m∠P = m∠Q = m∠R = m∠S = 90°.

So, statements (A), (B) and (C) are correct.

The adjacent sides of a rectangle may not be congruent, so PQ may not be congruent to RS.

Thus, statement PQ ≅ RS is not necessarily TRUE.

Option (D) is correct.