The exercise below is one that requires the proof that of certain dimensions using the rules of congruence. of triangles.
<h3>What does it mean for two angles to be congruent?</h3>
It simply means that both angles are similar in measure.
<h3>What is the required proof of the given problem?</h3>
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.
Learn more about congruence at;
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