Review Activity: Triangle Congruence Shortcuts

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method of proving triangle congruence where two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method of proving triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle.

Front

What is the significance of the statement 'Cannot Be Determined' in triangle congruence?

Back

The statement 'Cannot Be Determined' indicates that there is insufficient information to conclude that two triangles are congruent based on the given data.

Front

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

Back

To determine if two triangles are congruent using AAS, you need to show that two angles of one triangle are equal to two angles of another triangle, and that the side opposite one of those angles is equal to the corresponding side of the other triangle.

Front

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

Back

To determine if two triangles are congruent using ASA, you need to show that two angles of one triangle are equal to two angles of another triangle, and that the side between those angles is equal to the corresponding side of the other triangle.

Front

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

Back

To determine if two triangles are congruent using SAS, you need to show that two sides of one triangle are equal to two sides of another triangle, and that the angle between those sides is equal to the corresponding angle of the other triangle.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

What is the purpose of using triangle congruence shortcuts?

Back

The purpose of using triangle congruence shortcuts is to simplify the process of proving that two triangles are congruent without needing to measure all sides and angles.