CPCTC

Front

What does CPCTC stand for?

Back

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

Front

What is the significance of CPCTC in geometry?

Back

CPCTC is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about the angles?

Back

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

Front

If two triangles are congruent, what can we say about their corresponding sides?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What is the first step in proving triangles are congruent?

Back

Identify the criteria for triangle congruence: 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, 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, 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, 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 the corresponding non-included side of another triangle, 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, the triangles are congruent.