Is Angle-Angle-Side congruent?
Understand the Problem
The question is asking if the Angle-Angle-Side (AAS) congruence theorem is valid in geometry. This theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.
Answer
Yes, Angle-Angle-Side (AAS) is used to prove triangle congruence.
The Angle-Angle-Side (AAS) theorem states that two triangles are congruent if they have two angles of equal measure and a side that is adjacent to only one of these angles.
Answer for screen readers
The Angle-Angle-Side (AAS) theorem states that two triangles are congruent if they have two angles of equal measure and a side that is adjacent to only one of these angles.
More Information
The AAS theorem is fundamental in geometry for proving the congruence of triangles when two angles and a non-adjacent side are known. This is different from the ASA theorem, which uses two angles and their included side.
Tips
A common mistake is confusing AAS with ASA. Remember that in AAS, the side is not between the two angles.
Sources
- The web page with info on - The AAS Theorem - study.com
- Angle Angle Side - Definition, Theorem, Proof, Examples - cuemath.com
- ASA and AAS Triangle Congruence | CK-12 Foundation - flexbooks.ck12.org
