Question

which congruence postulate or theorem can prove that angle ABD = angle CDB?

Answer 1

Given :

$\bar{AB}\cong\bar{CD}$

and

$\bar{BC}\cong\bar{AD}$

Required: Congruency postulate

Explanation: In triangle ABD and triangle CDB

$\bar{AB}\cong\bar{CD}$$\bar{BC}=\bar{AD}$

and

$\bar{BD}=\bar{BD}$

Therefore, by SSS (Side Side Side) congurency theorem

Triangle ABD is congurent to triangle CDB.

Final Answer: Option 2 is correct