SSA
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.
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.
1. Are the two triangles congruent?
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.
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?
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?