Question

In the given figure, triangle PQR and
SRQ are right angled triangles at P
and S respectively, and PR = SQ. Prove
that APQR congruent to ASRQ

pls help fast​

Answer 1

We have been given,

anlgeQPR =angleRSQ(QPR and RSQ are right angled triangles)

PR=SQ

Now,

In triangles PQR and SRQ,

angle QPR = angle RSQ(given)

PR= QS

QR = QR (common side )

Therefore , triangle PQR congruent to SRQ

Answer 2

Answer:

In Triangle PQR and Triangle SPQ

Angle P = Angle S (90 degree)

PR = SQ (Given)

QR = QR (Common)

By RHS Triangle are Congrant.