ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD. Show that (i) ∆ APB ≅ ∆ CQD (ii) AP = CQ

Question

CASE_STUDIESDiagonal Divides Parallelogram into Congruent TrianglesNCERT Textbook2 sub-questions

Prove that a diagonal of a parallelogram divides it into two congruent triangles.

PQRS is a parallelogram whose area is 180 cm² and A is any point on the diagonal QS. The area of ∆ ASR = 90 cm².