Triangle Congruency: SSS SAS

Front

What does SSS stand for in triangle congruency?

Back

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

Front

What does SAS stand for in triangle congruency?

Back

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

Front

What is the ASA theorem in triangle congruency?

Back

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

Front

What is the AAS theorem in triangle congruency?

Back

AAS stands for Angle-Angle-Side, a theorem 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, then the triangles are congruent.

Front

What is the CBD postulate in triangle congruency?

Back

CBD refers to a specific case of congruency that may not be widely recognized; it is not a standard triangle congruency postulate like SSS or SAS.

Front

If two triangles have three pairs of equal sides, what can be concluded?

Back

The triangles are congruent by the SSS theorem.

Front

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

Back

The triangles are congruent by the SAS theorem.

Front

If two triangles have two angles equal and the side between them equal, what can be concluded?

Back

The triangles are congruent by the ASA theorem.

Front

If two triangles have two angles equal and a non-included side equal, what can be concluded?

Back

The triangles are congruent by the AAS theorem.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal.