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AAA in Triangles: Is it enough?

Use the applet below to defend or reject the statement below: Two triangles are similar if their corresponding angles are congruent. 1) Attempt to make two triangles that are not similar while keeping all corresponding angles congruent. 2) Write proportionality statements for corresponding side lengths that convince you that the triangles are similar or non-similar. Record your answer to this statement in the question below.

Respond the the conjecture: Two triangles are similar if their corresponding angles are congruent.