Question

pqrs is a trapezium in which pq parallel to rs and ps = qr show that triangle pqr is congruent to triangle qps

Answer 1

In the isosceles trapezium,
1. QR=PS
2. ∆PQR & ∆QPS are on the same base and between the same parallel lines (PQ || RS).
therefore ∆ PQR ~ ∆QPS