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1.25 AAA Exploration

Figure #1: A triangle with angle measures 45, 65, and 70 degrees.

What are the lengths of the sides in Figure #1?

Figure #2: A triangle with angle measures 45, 65, and 70 degrees.

Move point B to change the triangle in Figure #2. What are the lengths of the sides in Figure #2?

Do you think that AAA is a valid triangle congruence criterion? If two triangles have all three angle measures the same, are the triangles definitely congruent? Why or why not?