Triangle Congruence Review # 2

Front

What is the definition of congruence in triangles?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the purpose of a congruence statement?

Back

A congruence statement indicates that two triangles are congruent and specifies the corresponding vertices, such as △ABC ≅ △DEF.

Front

What additional information is needed for two triangles to be congruent by SSS?

Back

All three sides of both triangles must be known and equal.

Front

What additional information is needed for two triangles to be congruent by AAS?

Back

Two angles and one non-included side must be known and equal.

Front

How can you determine if two triangles are congruent?

Back

You can use congruence criteria such as SSS, SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS, or HL (Hypotenuse-Leg for right triangles).

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the ASA criterion for triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is used for right triangles; it states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.