It is true, from the given information only we can say that AD = CD.
What is Congruency?
In geometry, two figures or objects are congruent if their shape and size are same.
What is AAS criterion of Congruency?
If two angles and a side which does not come between these two angles is congruent with two angles and a side which does not come between these two of another triangle, then the triangles are said to be congruent by AAS criterion.
In the given question
∠ABD = ∠CBD ( Given)
∠BAD = ∠BCD (Right angles)
BD = DB (Common side of both triangles)
Δ ABD ≅ Δ CBD (AAS criterion)
The two triangles are congruent hence AD = CD.
Learn more about congruency on:
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