Question

Q3) In a quadrilateral PQRS, RP bisects angle R and RQ = RS. Prove that:
i) PQ = PS
ii) RP is the perpendicular bisector of QS​

Answer 1

Answer:

Step-by-step explanation:

Answer

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.