Triangle Congruency: SSS & SAS

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, a postulate 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 congruency?

Back

SAS stands for Side-Angle-Side, a postulate 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 is the ASA postulate?

Back

ASA stands for Angle-Side-Angle, a postulate 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 AAS postulate?

Back

AAS stands for Angle-Angle-Side, a postulate 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

Can two triangles be congruent if only one side is known to be equal?

Back

No, knowing only one side is not sufficient to determine triangle congruency.

Front

If two triangles have two sides and the included angle equal, what postulate can be used to prove congruency?

Back

The SAS postulate can be used to prove congruency.

Front

If two triangles have three sides equal, what postulate can be used to prove congruency?

Back

The SSS postulate can be used to prove congruency.

Front

What is the significance of congruency statements like △ABC ≅ △DEF?

Back

It indicates that triangle ABC is congruent to triangle DEF, meaning all corresponding sides and angles are equal.

Front

What does it mean if two angles are not congruent?

Back

It means that the angles do not have the same measure, which can affect the congruency of triangles.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all corresponding sides and angles are also congruent.