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 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 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 all three sides 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 is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence because it can lead to ambiguous cases.

Front

Can two triangles be congruent if only one angle and two non-included sides are known?

Back

No, this is known as the SSA condition, which does not guarantee triangle congruence.

Front

What is the Angle-Angle (AA) criterion?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar, but not necessarily congruent.

Front

What is the importance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it is the angle between the two sides being compared, ensuring the triangles are congruent.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, but the triangles are only similar, not necessarily congruent.

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent.