AAS (angle-angle-side)

Definition

AAS (angle-angle-side) is a congruence criterion for triangles, stating that two triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle. This method is used to determine the uniqueness of a triangle.

5 Must Know Facts For Your Next Test

1. AAS can be used to prove the congruence of two triangles.
2. The Law of Sines can be applied once AAS congruence is established.
3. AAS is different from ASA, where the given side is not between the two angles.
4. To use AAS, you must know two angles and a non-included side.
5. AAS helps in solving non-right triangles by establishing relationships between angles and sides.

Review Questions

• What information do you need to apply the AAS criterion?
• How does AAS differ from ASA in terms of given elements?
• Can you use the Law of Sines after establishing AAS congruence? Explain how.

Related terms

Law of Sines: Relates the ratios of the lengths of sides to the sines of their opposite angles in any triangle.

ASA (Angle-Side-Angle): A congruence criterion where two angles and their included side are known.

SSS (Side-Side-Side): A congruence criterion where all three sides of one triangle are equal to all three sides of another triangle.