Question

EXERCISE 11.1 In quadrilateral PQRS, PS = PQ and PR bisects XP (see Fig. 11.14). Show that APRS E APRQ. What can you say about RS and RQ? S Р. R Fig. 11.14​

Answer 1

Answer:

In \(\triangle PQR\) and \(\triangle PQS\) , we have

PR = PS

\(\angle RPQ = \angle SPQ\) (PQ bisects \(\angle P\))

PQ = PQ (common)

\(\triangle PQR = \triangle PQS\) (By SAS congruence)

Hence Proved.

Therefore, QR = QS (CPCT)