# SSA Theorem? Interactive

- Author:
- Aaron Dankman, Tim Brzezinski

- Topic:
- Angles, Geometric Transformations, Triangles

**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 (easily proven simply by finding the each triangle's 3rd angle and then using ASA Theorem.) HL Theorem (For Right Triangles: Easily Proven since we can just use the Pythagorean Theorem to solve for the other leg and then use the SSS Theorem.)

**Yet MANY students ask, "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)

**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? **