Chapter 4 Review - Congruent Triangles

Front

What does CPCTC stand for in the context of triangle congruence?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding angles and sides of congruent triangles are equal.

Front

What is the ASA postulate in triangle congruence?

Back

The ASA (Angle-Side-Angle) postulate 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 two triangles are congruent.

Front

What is the HL theorem in triangle congruence?

Back

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

Front

What is the significance of SSA in triangle congruence?

Back

SSA (Side-Side-Angle) is not a valid test for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

What is the SSS postulate in triangle congruence?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What is the AAS theorem in triangle congruence?

Back

The AAS (Angle-Angle-Side) 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

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

What is the importance of corresponding parts in congruent triangles?

Back

Corresponding parts in congruent triangles are important because they allow us to make conclusions about the equality of angles and sides based on the congruence of the triangles.

Front

What is the definition of an included angle in a triangle?

Back

An included angle in a triangle is the angle formed between two sides of the triangle.

Front

What is the definition of an included side in a triangle?

Back

An included side in a triangle is the side that lies between two angles of the triangle.