Question

If AAS (Angle-Angle-Side) is valid, explain why. If AAS is not valid, use GeoGebra to create a counterexample that shows the criterion failing. Show all side and angle measurements:

a. AAS is valid because...
b. AAS is not valid because...
c. AAS validity depends on additional information.
d. AAS is a concept not applicable in geometry.

Answer 1

AAS is a valid criterion for proving congruence in triangles. Hence the correct answer is option A

Step-by-step explanation:

Angle-Angle-Side (AAS) is a valid criterion for proving congruence in triangles. AAS states that if two angles of one triangle are congruent to two angles of another triangle, and the included side between those angles is congruent, then the triangles are congruent.

Example:

Let's consider Triangle ABC and Triangle XYZ. If angle A is congruent to angle X, angle B is congruent to angle Y, and side BC is congruent to side YZ, we can conclude that Triangle ABC is congruent to Triangle XYZ by AAS.

Hence the correct answer is option A