Question

ANSWER THE FOLLOWING

Answer 1

TO PROVE: R BISECTS PRQ

CONSTRUCTION: JOIN PR AND QR

PROOF:

      ∠TRP = ∠Q (ANGLES IN  ALTERNATIVE SEGMENT)

BUT,∠TRP = ∠P (ALTERNATIVE ANGLES,∵PQ║TR)

∴ ∠P = ∠Q

RQ = RP (CONVERSE OF ISOSCELES TRIANGLE PROPERTY)

=> RQ = RP

                             HENCE PROVED