Geometry Congruence Postulates

Front

What is the definition of congruent triangles?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side Side Side, which is a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side Angle Side, which is a postulate that states 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle Side Angle, which is a postulate that states 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 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 the Hypotenuse-Leg (HL) theorem?

Back

The Hypotenuse-Leg (HL) theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

How can you determine if two triangles are not congruent?

Back

Two triangles are not congruent if their corresponding sides and angles do not match in size and measure.

Front

What is the importance of congruence postulates in geometry?

Back

Congruence postulates are important in geometry as they provide criteria to determine whether two triangles are congruent, which is essential for solving various geometric problems.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are identical in shape and size, while similarity means that triangles have the same shape but may differ in size.

Front

What is the role of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are matched to determine congruence; if all corresponding parts are equal, the triangles are congruent.