Question

32. In the given figure, O is the mid-point of PS and QR. Show that Triangle POQ is congruent to Triangle SOR. Is PQ = RS? Why?​

Answer 1

By AAA

Step-by-step explanation:

O is common, QPO=OSR,PQO=ORS

PQ=RS(CPCT)

Answer 2

Step-by-step explanation:

Since O is the mid point of PS and QR.

So PO= SO and also RO = QO

IN triangle POQ AND SOR

PO= SO

QO= RO

AnglePOQ=AngleSOQ

So triangles are congruent by SAS congruent rule

and PQ= RS( By CPCT)