Congruent Triangles

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal.

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 two triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which is a postulate that states 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 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 is the significance of matching angles in congruent triangles?

Back

Matching angles in congruent triangles are equal, which helps in proving the triangles are congruent using various postulates.

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 two 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 two triangles are congruent.

Front

What does it mean if two triangles are not enough information to prove congruence?

Back

It means that there is insufficient data (sides or angles) provided to apply any of the congruence postulates to determine if the triangles are congruent.

Front

What is the relationship between congruent figures and their corresponding angles?

Back

All corresponding angles in congruent figures are congruent, meaning they have the same measure.

Front

Can the AAS postulate be used to prove triangle congruence?

Back

Yes, the AAS postulate can be used to prove that two triangles are congruent.