Question

Prove quadrilateral formed by joining midpoints of a parallelogram is a parallelogram

Answer 1

Answer:

As SR is the midsegment of ▲ ACD, we can say that SR || AC. As PQ is the midsegment of ▲ ABC, we can say that PQ || AC. ∵ SR || AC and PQ || AC by transitivity, we can say that SR || PQ. ∵ PS || QR and SR || PQ, ∴ quadrilateral PQRS is a parallelogram (by definition).