Use this applet to investigate triangle congruence shortcuts. With each of the given shortcuts try and make more than one Triangle. Play around with the applet to investigate how many triangles can be made when we fix certain lengths, or angles. Click on one shortcut at a time and see if it is 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.

1. Which of the shortcuts guarantee Triangle congruence?
2. Why do the shortcuts not listed in question above not guarantee congruence?
3. Why do the shortcuts listed in one guarantee congruence?