Question

Prove that the line segment joining the midpoints of the sides of a triangle divide it into four congruent triangles.

Answer 1

Solution: 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 . "

Answer 2

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