Answer: A. True.
Step-by-step explanation:
Considering the given figure,
Given : ∠ABD ≅ ∠CBD
In Δ ABD and Δ CBD , we have
∠ABD ≅ ∠CBD [given]
∠A≅ ∠C ≅90° [right angle]
BD ≅ BD [Reflexive property]
⇒ Δ ABD ≅ Δ CBD
⇒ AD=CD [By CPCTC]
CPCTC is property of congruent triangle that means that Congruent parts of congruent is congruent.
Hence, the correct answer is "True".
