CPCTC

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent 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

If ∆ABC ≅ ∆DEF, what can we conclude about the corresponding angles?

Back

If ∆ABC ≅ ∆DEF, then ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Front

What is the significance of the congruence statement ∆LMK ≅ ∆LMT?

Back

This statement indicates that triangles LMK and LMT are congruent, meaning their corresponding sides and angles are equal.

Front

How do you denote that two angles are congruent?

Back

Two angles are denoted as congruent by using the symbol '≅' between them, for example, ∠A ≅ ∠B.

Front

What is the first step in proving triangles are congruent using CPCTC?

Back

The first step is to establish that the triangles are congruent using one of the congruence postulates (SSS, SAS, ASA, AAS, or HL).

Front

What does the SSS postulate state?

Back

The SSS (Side-Side-Side) 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 postulate?

Back

The SAS (Side-Angle-Side) 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 postulate?

Back

The ASA (Angle-Side-Angle) 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 postulate?

Back

The AAS (Angle-Angle-Side) postulate 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.