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