Mensuration Practice Test 7

ABCD is a parallelogram.
In ΔAPQ and ΔPCQ,

PQ = PQ = Common
∠1 = ∠2
∠3 = ∠4
Since AP || CQ, CP || AQ
PQ is transversal line
⇒ ΔAPQ ≡ ΔPCQ {by ASA property}
Triangle APQ is similar to triangle PCQ.