AAS Congruence Criterion corresponds to which sequence of parts?

AAS Congruence Criterion corresponds to which sequence of parts?

• A. Angle-Angle-Side
• B. Side-Angle-Side
• C. Side-Side-Side
• D. Angle-Side-Angle

Answer: (A)

AAS uses two angles and a non-included side to prove triangles are congruent. When two angles in one triangle match two angles in another, the third angles must also match, so the triangles are similar in shape. To make them congruent (the exact same size), you need one corresponding side fixed, and that side must not be the side between the two known angles. So the sequence is two angles, then a side that is not between them: Angle-Angle-Side. The other common criteria use different sequences: for example, SAS uses a side between the known angle and the other angle, ASA uses the included side between two angles, and SSS uses all three sides.

AAS uses two angles and a non-included side to prove triangles are congruent. When two angles in one triangle match two angles in another, the third angles must also match, so the triangles are similar in shape. To make them congruent (the exact same size), you need one corresponding side fixed, and that side must not be the side between the two known angles. So the sequence is two angles, then a side that is not between them: Angle-Angle-Side. The other common criteria use different sequences: for example, SAS uses a side between the known angle and the other angle, ASA uses the included side between two angles, and SSS uses all three sides.