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 SAS postulate.

Step-by-step solution

Step 1. Apply the concept of the SAS postulate.

SAS postulates state that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

Step 2. Check the figure.

Consider the figure.

Step 3. Step description.

From the figure, two sides of one triangle are congruent to two sides of another triangle also the included angles between two sides are equal as they are vertically opposite angles.

So, they must be equal.

Therefore, the triangles are congruent by SAS postulates.