CPCTC Practice

Front

What does CPCTC stand for?

Back

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

Front

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

Back

If two triangles are congruent, their corresponding angles are equal.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about side AB and side XY?

Back

AB ≅ XY.

Front

What is the measure of an angle if it is congruent to another angle measuring 48°?

Back

The measure of the angle is also 48°.

Front

How do you denote that two angles are congruent?

Back

Two angles are denoted as congruent using the symbol '≅'. For example, if angle A is congruent to angle B, it is written as ∠A ≅ ∠B.

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If ∠A = 48° in triangle ABC and triangle DEF is congruent to triangle ABC, what is the measure of ∠D?

Back

The measure of ∠D is also 48°.

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 angles and sides correspond to each other. For example, in ∆ABC ≅ ∆XYZ, angle A corresponds to angle X, angle B corresponds to angle Y, and angle C corresponds to angle Z.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

If two triangles have two pairs of equal angles, the triangles are congruent by the Angle-Angle (AA) criterion.

Front

What is the measure of angle C if angle A is 48° and angle B is 52° in triangle ABC?

Back

The measure of angle C is 80° because the sum of angles in a triangle is 180° (180° - 48° - 52° = 80°).