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1 answer:

cluponka [151]3 years ago

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Given: QR I PT and ZQPR = ZSTR

Rina8888 [55]

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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