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7-9.

For the figure at right, determine if the two triangles are congruent. If so, create a flowchart proof to explain why. Then, solve for . If the triangles are not congruent, explain why not.

Quadrilateral A B C D is divided into two triangles by a diagonal. The left side is 6 x + 6, the right side is 8 x + 2, and the bottom side is 12 x minus 2. The top and bottom sides are both marked with two tick marks. The alternate interior angles are both marked with one tick mark.

The triangles are congruent. Now show why or how.

Congruent because of SAS, .