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amm1812
4 years ago
7

Given: QR I PT and ZQPR = ZSTR

Mathematics
1 answer:
Rina8888 [55]4 years ago
5 0

Answer:

\triangle PQR \sim \triangle TSR

Step-by-step explanation:

Given :

QR⊥PT

\angle QPR = \angle STR

To Prove : \triangle PQR \sim \triangle TSR

Solution:

Statements                                            Reasons

QR⊥PT                                                Given

∠QRP and ∠SRT are right angles       Def of perpendicular

∠QPR≅∠STR                                     Given

∠QRP = ∠SRT                                    All right angles are equal

ΔPQR≈ΔTSR                                     AA similarity

Hence  \triangle PQR \sim \triangle TSR

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