Question

For the following figure, does the SAS postulates justify that the two triangles are congruent.

Short answer

The triangles are congruent by SAS postulates.

Step-by-step solution

Step 1. Apply the concept of the SAS postulate.

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 and the included angle of one triangle are congruent to two sides and included angle of another triangle.

Therefore, the triangles are congruent by SAS postulates.