Question

Given:QR ⊥ PT and ∠QPR ≅ ∠STR

Answer 1

Answer:

ΔPQR ~ ΔTSR by AA Similarity Theorem

see the explanation

Step-by-step explanation:

we know that

The AA Similarity Theorem states: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar

In this problem we have

∠QPR ≅ ∠STR

∠QRP=90° ----> because QR ⊥ PT

∠SRT=90° ----> because QR ⊥ PT

so

∠QRP ≅ ∠SRT

two angles of triangle PQR are congruent with two angles of triangle TSR

therefore

triangles PQR and TSR are similar by AA Similarity Theorem

ΔPQR ~ ΔTSR by AA Similarity Theorem

Answer 2

Answer:

Refer to picture.

Step-by-step explanation: