Triangle Congruence Shortcuts

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side. It is a rule 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. It is a rule 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. It is a rule 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. It is a rule 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 does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg. It is a rule that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right 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 their corresponding sides and angles are equal.

Front

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

Back

To determine if two triangles are congruent using the SSS rule, 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 the SAS rule?

Back

To determine if two triangles are congruent using the SAS rule, 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 the ASA rule?

Back

To determine if two triangles are congruent using the ASA rule, 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 the AAS rule?

Back

To determine if two triangles are congruent using the AAS rule, 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.