Question

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

Short answer

The triangles are congruent by the ASA postulate.

Step-by-step solution

Step 1. Apply the concept of the ASA postulate.

SAS postulate states 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,the two angles and the included side of one triangle are congruent to two angles and included side of another triangle.

Therefore, the triangles are congruent with ASA postulates.