aas asa

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

If ΔABE ≅ ΔCDE by AAS, what can be concluded about their corresponding angles and sides?

Back

The corresponding angles and sides of ΔABE and ΔCDE are equal.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between the two angles to be equal, while AAS does not require the side to be included between the two angles.

Front

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

Back

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

Front

What is the congruence statement for triangles?

Back

A congruence statement indicates that two triangles are congruent and lists their corresponding vertices in order.

Front

If

Back

If

Front

What is the significance of the included side in ASA?

Back

The included side in ASA is the side that is between the two angles being compared, and it must be equal for the triangles to be congruent.

Front

Can AAS be used if only one side is known?

Back

No, AAS requires two angles and one corresponding non-included side to establish congruence.

Front

What is a common mistake when applying triangle congruence theorems?

Back

A common mistake is to assume triangles are congruent based solely on two angles without considering the sides.