Question

14. In the given figure, AP = BQ, PR =BQ, PR = QS.
Show that AAPS = ABQR​

Answer 1

Answer

In △APB and △AQB

AP=AQ (Given)

BP=BQ (Given)

AB=AB (Common Side)

∴△APB≅△AQB(S.S.S. congruency)

⇒∠PAB=∠QAB(C.P.C.T.C.)

⇒∠PBA=∠QBA(C.P.C.T.C.)

Thus, AB is bisector of ∠PAQ and ∠PBQ

Step-by-step explanation: