CPCTC

Front

What does CPCTC stand for?

Back

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

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

How do you denote congruence between two triangles?

Back

Congruence between two triangles is denoted using the symbol '≅'. For example, if triangle ABC is congruent to triangle XYZ, it is written as ΔABC ≅ ΔXYZ.

Front

What is the importance of the order of vertices in a congruence statement?

Back

The order of vertices in a congruence statement is important because it indicates which corresponding parts of the triangles are congruent.

Front

If ΔABC ≅ ΔXYZ, what can be said about the corresponding angles?

Back

If ΔABC ≅ ΔXYZ, then ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar, and their corresponding sides are in proportion.

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 Angle-Angle (AA) criterion for triangle similarity?

Back

The Angle-Angle (AA) criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.