Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove triangles are congruent when two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the definition of congruent triangles?

Back

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

Front

What postulate can be used to prove triangle congruence if two sides and the included angle are known?

Back

SAS (Side-Angle-Side) postulate.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

All corresponding angles in congruent triangles are congruent.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

All corresponding sides in congruent triangles are equal in length.

Front

If ∠A ≅ ∠M, what does this signify?

Back

It signifies that angle A is congruent to angle M, meaning they have the same measure.

Front

What does the ASA postulate stand for?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove triangles are congruent when two angles and the included side are known.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

Front

Can two triangles be congruent if only one angle is known?

Back

No, at least two angles and one side (AAS or ASA) or two sides and the included angle (SAS) are needed to prove congruence.

Front

What is the definition of the AAS postulate?

Back

AAS (Angle-Angle-Side) postulate states that if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.