Congruent Triangles (CPCTC)

Front

What does CPCTC stand for in the context of congruent triangles?

Back

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

Front

If two triangles are congruent, what can be said about their corresponding sides?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If ∆PIG ≅ ∆COW, what can be concluded about the corresponding angles?

Back

The corresponding angles of ∆PIG and ∆COW are equal.

Front

What is the first step in proving that two triangles are congruent?

Back

The first step is to identify and compare the corresponding sides and angles.

Front

What are the common methods to prove triangle congruence?

Back

The common methods include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Two triangles are congruent by SSS if all three sides of one triangle are equal to the three sides of the other triangle.

Front

What does the SAS criterion for triangle congruence state?

Back

The SAS criterion 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 significance of the AAS criterion in triangle congruence?

Back

The AAS criterion 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 relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are equal in measure.

Front

How can you use CPCTC to prove that two angles are equal?

Back

If two triangles are proven to be congruent, you can use CPCTC to state that their corresponding angles are equal.