Question

triangle congruence unit test
in 1 - 2 sentences, explain how the triangle angle sum theorem helps prove aas congruence. (2 points)
short answer rubric (2 points)
points awarded criteria
2 the answer is very clear. the answer is fully supported by details. there may be a few errors in grammar, usage, or mechanics. errors do not interfere with meaning
1 the answer is somewhat clear. details are weak or not related. there are some errors in grammar, usage, and mechanics. errors interfere with meaning
0 the question is not answered.

Explanation:

The Triangle Angle Sum Theorem states that the sum of angles in a triangle is \(180^{\circ}\). If two angles of one triangle are equal to two angles of another triangle (AAS), the third angles must also be equal (by the theorem). Then, with a side equal (AAS), triangles are congruent (as ASA is a congruence criterion and AAS is equivalent via the theorem).

Answer:

The Triangle Angle Sum Theorem helps prove AAS congruence by allowing us to find the third - equal angle (when two angles are given) and then use ASA (equivalent to AAS) for congruence.