4.2 and 4.3 Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a rule used to determine triangle congruence when two angles and a non-included side are known.

Front

What is the AAS congruence rule?

Back

The AAS (Angle-Angle-Side) rule 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.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a rule used to determine triangle congruence when all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the SSS congruence rule?

Back

The SSS (Side-Side-Side) rule states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a rule used to determine triangle congruence when two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the SAS congruence rule?

Back

The SAS (Side-Angle-Side) rule states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule used to determine triangle congruence when two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the ASA congruence rule?

Back

The ASA (Angle-Side-Angle) rule states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

If ∠B = 2x and ∠Q = 10, find x if △BAC ≅ △QPR.

Back

x = 5.

Front

Are the triangles congruent if they have two angles equal?

Back

Not necessarily; two angles alone do not guarantee congruence unless the third angle is also determined.