Question

Quadrilateral P Q R S is shown. Diagonals are drawn from point Q to point S and from point P to point R and intersect at point M. Sides P S and R S are congruent. If quadrilateral PQRS is a kite, which statements must be true? Select three options QP ≅ QR PM ≅ MR QR ≅ RS ∠PQR ≅ ∠PSR ∠QPS ≅ ∠QRS

Answer 1

Answer:

QP = QR

PM = MR

QRS = QPS

Step-by-step explanation:

took the test haha

Answer 2

The statement that should be true is QP ≅ QR,  PM ≅ MR, and ∠QPS ≅ ∠QRS.

What is the kite?

It is the quadrilateral where two disjoint pairs of consecutive sides should be congruent here disjoint pairs refers that one sides should not be used for the both sides.

So QP≅QR but QR should not congruent to RS. The diagonal represents the perpendicular bisector with respect to the other diagonal i.e. PM≅MR.

And, the opposite angles lie at the endpoints of the cross diagnoal should be congruent i.e. ∠QPS≅∠QRS.

Therefore, the  statement that should be true is QP ≅ QR,  PM ≅ MR, and ∠QPS ≅ ∠QRS.

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