With of the following triangle congruence shortcuts could be used to prove PRQ = TRS12210203401.jpgGiven Data,/_Q ~= /_Sbar(QR) ~= bar(SR)a)Side-Side-Side Postulate (SSS)b)Side-Angle-Side Postulate (SAS)c)Angle-Side-Angle Postulate (ASA)d)Angle-Angle-Side Theorem (AAS)

BenoguigoliB 2020-12-06 Answered

With of the following triangle congruence shortcuts could be used to prove PRQ = TRS
image
Given Data,
Q=S
QR=SR
a)Side-Side-Side Postulate (SSS)
b)Side-Angle-Side Postulate (SAS)
c)Angle-Side-Angle Postulate (ASA)
d)Angle-Angle-Side Theorem (AAS)

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Expert Answer

Ezra Herbert
Answered 2020-12-07 Author has 99 answers
Step 1
It is given that,
Q=S
QR=SR
InPQRandRST,
Q=S (equal angles given)
QR=SR ( equal sides given)
PRQ=SRT ( vertically opposite angles)
Here, two angles and one side of both triangle is equal then,
Step 2
PQR=RST (By angle-side-angle congruence)
Hence option C is correct.
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