Geometry - Congruent Triangles

Front

What does congruent mean in geometry?

Back

Congruent means that two figures have the same shape and size.

Front

What are congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the SSS postulate?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

The SAS (Side-Angle-Side) postulate states 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 postulate?

Back

The ASA (Angle-Side-Angle) postulate states 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 postulate?

Back

The AAS (Angle-Angle-Side) postulate states 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

Which method will not prove triangles are congruent?

Back

SSA (Side-Side-Angle) cannot be used to prove triangles are congruent.

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 congruence.

Front

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

Back

The triangles are congruent by the SAS postulate.

Front

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

Back

The triangles are congruent by the SSS postulate.