We have discussed triangle congruence and in this series, we are going to use the congruence theorems in order to prove that two triangles are congruent.

Given

$latex \overline{AB} \cong \overline{AE}$
$latex \overline{AC} \cong \overline{AD}$

Prove
$latex \overline{BD} \cong \overline{EC}$

Proof 

We can see that there are two overlapping triangles: triangle $latex ADB$ and triangle $latex ACE$. Continue reading →