Coach E's ASA and AAS

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 congruent 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 congruent to two angles and the corresponding non-included side of another triangle.

Front

What is the congruence statement for triangles?

Back

Front

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

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent by the ASA criterion.

Front

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

Back

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent by the AAS criterion.

Front

What is the significance of the included side in ASA?

Back

In ASA, the included side is the side between the two angles being compared; it is crucial for establishing congruence.

Front

What is the significance of the non-included side in AAS?

Back

In AAS, the non-included side is the side that is not between the two angles being compared; it helps establish congruence without needing the included side.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that shows that two geometric figures are congruent, indicating that they have the same shape and size.

Front

Back

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side to be congruent, while AAS allows for a non-included side to be congruent along with two angles.