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Triangle Congruence Theorems

Use this applet to investigate triangle congruence theorems. Play around with the applet to investigate whether non-congruent triangles can be made when we fix certain lengths, or angles. Click on one shortcut at a time. The two triangles you see on the screen are congruent. Is it possible to make more than one triangle with the given congruent pieces. You will know you formed a triangle when the interior is filled in. Are the two triangles still congruent?
For which shortcuts were you able to create a different triangle? For which shortcuts were you not able to create a different triangle?