Question

to prove quadrilateral pqrs is a kite, a student wants to show that $overline{ps}congoverline{rs}$. the student will start by using the given information to prove triangles pqs and rqs are congruent. which reason can the student use? (1 point) side - side - side triangle congruence angle - side - angle triangle congruence angle - angle - angle triangle congruence angle - side triangle congruence

Explanation:

To prove two triangles congruent and then show two sides equal in a kite - related problem, we look at congruence postulates. Side - Side - Side (SSS) congruence is used when all three sides of one triangle are equal to the corresponding three sides of another triangle. Angle - Side - Angle (ASA) is when two angles and the included side are equal. Angle - Angle - Angle (AAA) only shows similarity not congruence. There is no Angle - Side congruence postulate. From the figure and the goal of showing $\overline{PS}\cong\overline{RS}$ by first proving $\triangle PQS\cong\triangle RQS$, if we assume we have information about all three pairs of corresponding sides being equal, we use SSS.

Answer:

Side - Side - Side Triangle Congruence