cpctc

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.'

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the sides AB and XY?

Back

AB ≅ XY.

Front

What is the significance of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

How do you denote that two triangles are congruent?

Back

You can denote that two triangles are congruent using the symbol '≅'.

Front

What is the SSS Congruence Postulate?

Back

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

Front

What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence 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 triangles are congruent.

Front

What is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence 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 triangles are congruent.

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem states that 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 importance of CPCTC in proving triangle congruence?

Back

CPCTC is used to prove that corresponding parts of congruent triangles are also congruent, which is essential in many geometric proofs.