Question

Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM=CN. Prove that BMDN is a parallelogram.

Answer 1

here's your answer(in the img.)


To prove a quadrilateral is a parallelogram, you must use one of these five ways.

Prove that both pairs of opposite sides are parallel.

Prove that both pairs of opposite sides are congruent.

Prove that one pair of opposite sides is both congruent and parallel.

Prove that the diagonals bisect each other.

since we have Proved that both pairs of opposite sides are congruent (proved in the image) therefore the BMDN is a parallelogram....

I hope this will help you and please mark my answer as brainliest.....