Question

For the following figure, state which congruence method can be used to prove the triangle congruent. If no method applies, say none.

Short answer

The triangles are congruent by the $\mathit{A}\mathit{S}\mathit{A}$postulate.

Step-by-step solution

Step 1- Apply the concept of the ASA postulate.

$\mathit{A}\mathit{S}\mathit{A}$postulates state that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step 2- Check the figure.

Consider the figure.

Step 3- Step description.

From the figure, in both the triangles one pair of equal sides and one pair of right angles, also one pair of vertically opposite angles which is equal.

So, they must be equal.

Therefore, the triangles are congruent by $ASA$postulates.