Congruent Triangles (CPCTC)

Front

What does CPCTC stand for?

Back

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

Front

What is the symbol for congruence?

Back

Front

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

Back

If two triangles are congruent, their corresponding sides are equal in length.

Front

If ∆ABC ≅ ∆XYZ, what can be concluded about angle A and angle X?

Back

Angle A is congruent to angle X (∠A ≅ ∠X).

Front

What is the first step in proving triangles are congruent?

Back

The first step is to identify the criteria for triangle congruence, such as SSS, SAS, ASA, AAS, or HL.

Front

What does the SSS criterion state?

Back

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

Front

What does the SAS criterion state?

Back

The SAS (Side-Angle-Side) 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 does the ASA criterion state?

Back

The ASA (Angle-Side-Angle) criterion 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 does the AAS criterion state?

Back

The AAS (Angle-Angle-Side) criterion states that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does the HL criterion state?

Back

The HL (Hypotenuse-Leg) criterion 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.