Question

PQRS is a rectangle and QS is a diagonal , show that ∆PQS ≅ ∆RSQ. Which congruence condition

has been used?

P Q

S R​

Answer 1

PQRS is a rectangle,

QS IS DIAGONAL.

then,

In triangle PQS and Triangle RSQ,

Side QP ll side SR ---- Opp. side of rectangle,

Angle QPS = Angle QRS----- Angle of Rectangle

are 90°

Side QS =Side QS -------Common angle

Therefore, Triangle PQS = triangle RSQ.

By SAS test of similarity....