Question

if quadrilateral pqrs is a rectangle, then which of the following is true? ∠psq≅∠qsr sr≅rq ∠stp≅∠qtr ps≅pr

Explanation:

Step1: Recall rectangle properties

In a rectangle, diagonals bisect each other. So, $\angle STP$ and $\angle QTR$ are vertical - angles.

Step2: Use vertical - angle theorem

Vertical angles are always congruent. So, $\angle STP\cong\angle QTR$.

Answer:

C. $\angle STP\cong\angle QTR$