Triangle Congruence Shortcuts

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the significance of triangle congruence shortcuts?

Back

Triangle congruence shortcuts allow us to determine if two triangles are congruent without having to measure all sides and angles, making it easier to solve geometric problems.

Front

If ΔABE ≅ ΔCDE by AAS, what can be inferred about their corresponding parts?

Back

If ΔABE ≅ ΔCDE by AAS, then their corresponding angles and sides are equal.

Front

Can ΔEDC be determined to be congruent to another triangle with the given information?

Back

No, ΔEDC cannot be determined to be congruent to another triangle with the given information.

Front

If two triangles have two angles and the side between them equal, what can be concluded?

Back

The two triangles are congruent by the ASA criterion.

Front

If two triangles have two angles and a non-included side equal, what can be concluded?

Back

The two triangles are congruent by the AAS criterion.

Front

If two triangles have all three sides equal, what can be concluded?

Back

The two triangles are congruent by the SSS criterion.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same shape and size, meaning their corresponding sides and angles are equal.