Geometry Chapter 5 Review

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states 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 is the AAS theorem?

Back

AAS stands for Angle-Angle-Side. It 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 triangles are congruent.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side. It states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What is the ASA postulate?

Back

ASA stands for Angle-Side-Angle. It states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SSA stand for and why is it not a valid congruence theorem?

Back

SSA stands for Side-Side-Angle. It is not a valid congruence theorem because it does not guarantee that the triangles are congruent; it can lead to ambiguous cases.

Front

Back

The triangles may or may not be congruent due to the SSA condition.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

How can you prove that two triangles are not congruent?

Back

If any corresponding sides or angles are not equal, the triangles are not congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means if two triangles are proven congruent, all their corresponding sides and angles are also congruent.

Front

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

Back

In congruent triangles, the lengths of corresponding sides are equal, and the measures of corresponding angles are equal.