Question

if qs and qr are diagonals of quardrilateral pqrs intersect at o such that ar(poq)=ar(sor).show that ps parell rq

Answer 1

IN TRIANGLE POQ AND SOR,

1. ANGLEPOQ=ANGLESOR    [VOA]
2. ANGLEQPO=ANGLESRO   [ALTERNATE ANGLES]
3. ANGLEPQO=ANGLERSO  [ALTERNATE ANGLES]

• BY AAA CONGRUENCY TRIANGLES POQ=SOR
• SO BY CPCT,

         PS  PARALLEL TO  QR

HENCE, PROVED