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

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. It is often written in the form of triangle congruence, such as △ABC ≅ △DEF.

Front

How do you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure. This can be determined by measuring the angles with a protractor or by using properties of geometric figures.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which corresponding parts of the triangles are congruent. For example, in the statement △ABC ≅ △DEF, angle A corresponds to angle D, angle B corresponds to angle E, and angle C corresponds to angle F.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence Postulate 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 two triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Congruence Postulate 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 two triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem 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, then the two triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

The HL Congruence 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 two triangles are congruent.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are equal in measure. This means that if two triangles are congruent, their corresponding sides and angles are also congruent.