Chapter 5: Triangle Congruence Theorems Review

Front

What is the SAS (Side-Angle-Side) Theorem in triangle congruence?

Back

The SAS Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What additional information is needed to prove triangle congruence using the SAS Theorem?

Back

You need to know that the lengths of the two corresponding sides are congruent and that the included angle is also congruent.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, which means all corresponding sides and angles are equal.

Front

What is the AAS (Angle-Angle-Side) Theorem in triangle congruence?

Back

The AAS Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

How can you prove that two triangles are congruent using the AAS Theorem?

Back

You need to show that two angles and one corresponding non-included side are congruent between the two triangles.

Front

What is the significance of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of two triangles that match up when the triangles are congruent. They must be equal in measure.

Front

What is the definition of corresponding angles in triangle congruence?

Back

Corresponding angles are angles in two triangles that occupy the same relative position. If two triangles are congruent, their corresponding angles are equal.

Front

What is the definition of corresponding sides in triangle congruence?

Back

Corresponding sides are the sides in two triangles that are in the same relative position. If two triangles are congruent, their corresponding sides are equal in length.

Front

What additional information is needed to prove triangle congruence using the AAS Theorem?

Back

You need to know that the two angles are congruent and that the non-included side is also congruent.

Front

What is the relationship between the angles and sides of congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.