CPCTC

Front

What does CPCTC stand for in geometry?

Back

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

Front

What is the Angle-Angle-Angle (AAA) criterion in triangle congruence?

Back

The AAA criterion states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

If triangle ABC is congruent to triangle DEF, what can we say about the corresponding sides?

Back

If triangle ABC is congruent to triangle DEF, then the corresponding sides are also congruent, meaning AB = DE, BC = EF, and AC = DF.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion 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 Side-Angle-Side (SAS) criterion for triangle congruence?

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 Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA 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 is the Hypotenuse-Leg (HL) theorem for triangle congruence?

Back

The HL theorem 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.

Front

What is the purpose of using CPCTC in geometric proofs?

Back

CPCTC is used to justify that corresponding parts of congruent triangles are congruent, which helps in proving other properties or relationships in geometric proofs.

Front

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

Back

To determine if two triangles are congruent using the SSS criterion, measure the lengths of all three sides of both triangles and check if they are equal.