Question

PQRS is a square whose diagonal PR is joined. Prove that trianglePQR is congruent trianglePSR​

Answer 1

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

Step-by-step explanation:

given

PQRS is a square, PR and QS are diagonals

to prove

PQR is congruent to PSR

proof

PR=PR （common side）

PQR =RSP （alternate angles）

RQP =PSR （alternate angles）

therefore triangle

PQR is congruent to triangle PSR

ASA congruence rule