[color=#000000]Suppose 2 triangles have 2 pairs of congruent sides. Suppose we also know that the angle included between these sides is congruent in each triangle.[br][br]Does knowing only this constitute sufficient evidence to prove the triangles congruent? [br][/color][color=#000000]Interact with this applet below for a few minutes, a[/color][color=#000000]s you do, feel free to move the [b]BIG WHITE POINTS[/b] anywhere you'd like on the screen! [br][br][/color]

Suppose 2 triangles have 2 pairs of congruent angles. Suppose we also know that the side between each set of given angles (in one triangle) is congruent to the side between this same pair of angles in the other triangle. [br][br]Does knowing only this constitute sufficient evidence to prove the triangles congruent?