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Given two angles

Given: Two angle measures   Feel free to move the locations of the BIG GREEN VERTICES of either triangle before slowly dragging the slider.  Pay careful attention to what happens as you do.

What geometry transformations did you observe in the applet above? List them.

How are these transformations different from the previous examples?

So.... If 2 angles are congruent to 2 angles of another triangle, can we say that those 2 triangles are congruent? Fully explain why or why not.