Question

In Fig. 14.21, APQR and ASQR are on the same
base QR. Also, PQ = SR and PR = SQ.
Is APQR ~= ASQR?

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Answer 1

Given:

• In ∆PQR & SQR
• ✯ PQ = SR
• ✯ PR = SQ

Required To Prove:

• ☯ ∆PQR $≅$ ∆SQR

Proof:

$→\;{\sf{PQ = SR}}$ (Given)

$→\;{\sf{PR = SQ}}$ (Given)

$→\;{\sf{QR = QR}}$ (Common Side)

By $\bold{SSS}$ Congruence Rule

☞ $\red{\bf{∆PQR≅∆SQR}}$

Hope It Helps You ✌️

Answer 2

Step-by-step explanation:

your answer is first answer