Question

Determine whether side-angle-angle (SAA) is valid means for establishing triangle congruence. In this case, you know the measure of : side, an

adjacent angle, and the angle opposite to the side. If it is valld criterion, explain why. If it is not valid, use GeoGebra to create a counterexample
demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert
the image in the space below.

Answer 1

Basically if you know side-angle-anlge, you can determine the third angle by

3rd angle = 180 - angle 1 - angle2

In this way, you are using the Angle-Side-Angle method of congruence.

Explanation:

Answer 2

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles. From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.