Practice Triangle Congruence

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 does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence as it can lead to ambiguous cases.

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) does not prove triangle congruence as it only shows that triangles are similar, not necessarily congruent.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides being compared, which is crucial for establishing congruence.

Front

What is the difference between AAS and ASA?

Back

AAS requires two angles and a non-included side, while ASA requires two angles and the included side.

Front

What is the criterion for triangle congruence using SSS?

Back

For SSS, if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the criterion for triangle congruence using AAS?

Back

For AAS, 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.