Geometry CPCTC

Front

What does CPCTC stand for in geometry?

Back

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

Front

Define congruence in geometry.

Back

Congruence in geometry means that two figures have the same shape and size. Congruent figures can be transformed into one another through rotations, translations, or reflections.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If ∆ABC ≅ ∆XYZ, what can be inferred about their corresponding angles?

Back

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

How do you denote the congruence of two triangles?

Back

To denote the congruence of two triangles, you write the triangle names in order of their corresponding vertices followed by the congruence symbol. For example, if ∆ABC ≅ ∆XYZ, then A corresponds to X, B to Y, and C to Z.

Front

What is a false statement regarding the angles of congruent triangles?

Back

Front

What is the significance of the order of letters in triangle congruence?

Back

The order of letters in triangle congruence indicates which vertices correspond to each other. For example, in the statement ∆ABC ≅ ∆XYZ, A corresponds to X, B to Y, and C to Z.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

Front

What is the definition of corresponding sides?

Back

Corresponding sides are sides that are in the same relative position in two different geometric figures, particularly in congruent triangles.