Question

Determine by choosing the best option for the similarly of triangles theorem. $DE||BC$. Both $△ADE$ & $△ABC$ are similar by:

• A. SAS
• B. SSS
• C. AAA
• D. AAS

Answer 1

The correct option is C AAA

In $△ADE$ and $△ABC$

$\angle D=\angle B$ ....[alternate angles since $DE||BC$]

And, $\angle E=\angle C$ ....[alternate angles since $DE||BC$]
$\angle A$ is common.
$△ADE\sim △ABC$ ...AAA test of similarity