Question

Which congruence condition is used to prove $△ACD\cong △BCE$ using given information only?

• A. ASA
• B. AAS
• C. SAS
• D. RHS

Answer 1

The correct option is B AAS

In the above figure,
In $△ACDand△BCE$
$\angle A=\angle B$ ( given)
$\angle D=\angle$ E (given)
And, $AC=BC$ (given)

So, $△$ ACD $\cong$ $△$BCD ( by AAS congruency)
as two corresponding angles of both triangles are equal and the non-included side AC of $△ACD$ is equal to the corresponding non-included side BC of $△BCE$.

Hence, condition used is AAS (Angle-Angle-Side).
Hence, option$\left(b\right)$ correct.