Question

In the given figure, if AB = DC, $\angle ABD=\angle CDB$, which congruence rule would you apply to prove $\Delta ABD=\Delta CDB$ ?

• A. SAS
• B. ASA
• C. RHS
• D. SSS

Answer 1

Answer: (A)

SAS

In $△ABD$ and $△CDB$

$AB=CD$ (given)

$\angle ABD=\angle CDB$ (given)

$BD=DB$ (common side)

$\therefore △ADB\cong △CDB$ by $SAS$ criteria.

So option $A$ is correct.