The exercise below is one that requires the proof that of certain dimensions using the rules of congruence. of triangles.
What does it mean for two angles to be congruent?
It simply means that both angles are similar in measure.
What is the required proof of the given problem?
It is given that ∠BAD=∠EAC
∠BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]
Therefore ∠BAC=∠DAE
In △BAC and △DAE
AB=AD (Given)
∠BAC=∠DAE (Proved above)
AC=AE (Given)
Therefore △BAC≅△DAE (By SAS congruence rule)
Therefore BC=DE because Corresponding Parts of Congruent Triangles CPCT are congruent.
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