We just figured out that SAS Postulate is a way to prove two triangles congruent. Then how about the SSA? When the angle is NOT between the two congruent sides? Let's explore this.[br][br]Notice that the two triangle ABC and DEF have two congruent sides. I made one pair of angles (C and F) -- the ones not between the two congruent sides -- congruent as well.[br]1. Are the two triangles congruent?[br]2. For a postulate or theorem to be true, it must be true in ALL scenarios. Let's test to see if the SSA is true in all scenarios.[br]3. I enabled point E so that it can move around. Move point E around. Can you find another instance when the angle measure is equal to 25 degrees?[br]4. Are the two triangles congruent in this instance?
5. Postulates and Theorems must be true for ALL cases. Does SSA make the cut then?