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swat32
3 years ago
13

Given:QR ⊥ PT and ∠QPR ≅ ∠STR

Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer:

ΔPQR ~ ΔTSR by AA Similarity Theorem

see the explanation

Step-by-step explanation:

we know that

The<u> AA Similarity Theorem </u>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

antoniya [11.8K]3 years ago
6 0

Answer:

Refer to picture.

Step-by-step explanation:

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