Question

prove that the line segment joining the midpoint of the side of a triangle divide it into four congruent Triangle

Answer 1

Let the main triangle ABC
D be the mid point of AB there for AD=DB
E be the mid point of AC there for AE=EC
F be the mid point of BC there for BF=FC



by the fig we can see that line segment DF is parallel to the line EC so DF=EC
similarly EF=AD
DE=FC
by the definition of congruent triangles theorem proved . " :)