Question

Prove that the four triangles formed by joining the midpoints of the sides of a parallelogram are congruent to each other.​

Answer 1

A triangle of ABC and D,E,F are the mid-points of sides BC,CA and AB respectively.

To prove :

△AFE≅△FBD≅△EDC≅△DEF.

Proof :

Since the segm ent joining the mid-points of the sides of a triangle is half of the third side. There fore,