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 SSS postulate.

Step-by-step solution

Step 1. Apply the concept of the SSS postulate.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent or if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two 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 one side is common to both triangles.

Therefore, the triangles are congruent by SSS postulates.