Question

Prove that the line segment joining the midpoints of the diagonals of a triangle divides it into 4 congruent triangles

Answer 1

Congruent triangles are triangles that have the same size and shape. ... In this lesson, we will consider the four rules to prove triangle congruence. They are called the SSS rule, SAS rule, ASA rule and AAS rule. 

Answer 2

Answer:

So we know that △ BFD, △ FDE, △ FED and △ EDC are congruent to each other. Therefore, it is proved that the line segments joining the middle points of the sides of a triangle divide it into four congruent triangles.