Question

In Fig. 16, AD = DC and AB = BC.
(i) Is ∆ ABD ≅ ∆ CBD?
(ii) State the three parts of matching pairs you have used to answer (i).

Answer 1

Yes $△ABD\cong △CBD$ by the SSS criterion.
We have used the three conditions in the SSS criterion as follows:
AD = DC
AB = BC
and DB = BD