Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating that 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, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

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 where two different triangles can be formed.

Front

If two triangles have two sides of equal length and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have two angles of equal measure and the side opposite one of the angles is equal, what can be concluded?

Back

The triangles are congruent by the AAS criterion.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.

Front

How can you prove that two triangles are congruent using the SSS criterion?

Back

Measure all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent by SSS.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is fundamental in geometry as it helps in proving properties of shapes, solving problems, and establishing relationships between different geometric figures.