Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to 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 postulate that states if two sides and the included angle of one triangle are equal 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 postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent using SSS?

Back

To determine if two triangles are congruent using SSS, measure the lengths of all three sides of each triangle. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

How can you determine if two triangles are congruent using SAS?

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of each triangle. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

How can you determine if two triangles are congruent using ASA?

Back

To determine if two triangles are congruent using ASA, measure two angles and the included side of each triangle. If the two angles and the included side of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine if two triangles are congruent using AAS, measure two angles and a non-included side of each triangle. If the two angles and the corresponding non-included side of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, typically written in the form of triangle names, such as △ABC ≅ △DEF.