Question

PQRS is a square whose diagonal PR is joined. Prove that ΔPQR ≅ ΔPSR.

Answer 1

Answer:

triangle PQR congruent to triangle PSR

Step-by-step explanation:

given that it is a square.. square is a quadrilateral with all sides equal and all angles 90 degree..

consider triangle PQR AND PSR

ANGLE pqr=ANGLE psr (right angle)

PR = PR ( common side)

PQ=SR(SIDES OF SQUARE)

Therefore...

triangle PQR congruent to triangle PSR

(BY R.H.S CONGRUENCE)

Answer 2

Since PQRS is a square, each angle is of 90 degrees.
Now in trianglePQR and trianglePSR,
AnglePQR=anglePSR= 90 degrees _1
Since PQRS is a square, all the sides are equal.
Hence,
PS=QR=PQ=SR_2

Therefore from 1&2
TrianglePQR IS CONGRUENT TO trianglePSR