Question

use the information given in the diagram. tell why $overline{ps}congoverline{qr}$ and $angle pqrcongangle rsp$.
given, given
given, reflexive property
transitive property, reflexive property
reflexive property, transitive property

Explanation:

Step1: Check for $\overline{PS}\cong\overline{QR}$

In geometry, when a diagram shows markings (like tick - marks) on segments $\overline{PS}$ and $\overline{QR}$ to indicate they are congruent, this is a given piece of information from the diagram.

Step2: Check for $\angle PQR\cong\angle RSP$

Similarly, when a diagram shows markings (like arc - marks) on angles $\angle PQR$ and $\angle RSP$ to indicate they are congruent, this is a given piece of information from the diagram.

So, both $\overline{PS}\cong\overline{QR}$ and $\angle PQR\cong\angle RSP$ are given based on the diagram's markings.

Answer:

Given, Given