Given Side-Side-Angle
Thus far, we've learned several theorems that allow us to conclude 2 triangles are congruent.
Here's the list of discoveries we've made thus far:
SAS Theorem
SSS Theorem
ASA Theorem
AAS Theorem
HL Theorem
BUT what about, "What about SSA?"
That is, if 2 sides and a non-included-angle of one triangle are congruent to 2 sides and a non-included-angle of another triangle, are the triangles themselves congruent?
Interact with BOTH applets for a few minutes and see if you can answer this question for yourself. As you do, feel free to move the WHITE POINTS anywhere you'd like!
Feel free to adjust the "a" and "b" sliders as well.
SSA? (Applet 1)
SSA? (Applet 2)
So.... If two sides and a non-included angle are congruent to two sides and a non-included angle of another triangle, then those 2 triangles are congruent? Fully explain why or why not.