CPM Homework Help : INT2 Problem 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 $x$ . If the triangles are not congruent, explain why not.

Quadrilateral, A B C D, divided by a segment from, b to d, labeled as follows: Side, A B, 6 x + 6, side, C D, 8 x + 2, side, A D, 12 x minus 2, & 2 tick marks, side, B C, 2 tick marks, angle, C B D, & angle, A D B, each have 1 tick mark.

Hint:

The triangles are congruent. Now show why or how.

Answer (a):

Congruent because of SAS $≅$ , $x = 2$ .