CPCTC Practice

Front

What does CPCTC stand for?

Back

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

Front

If \( \Delta ABC \cong \Delta DEF \), what can we conclude about the angles?

Back

If \( \Delta ABC \cong \Delta DEF \), then \( \angle A \cong \angle D \), \( \angle B \cong \angle E \), and \( \angle C \cong \angle F \).

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

If \( \overline{AB} \cong \overline{XY} \), what does this mean?

Back

This means that the length of segment \( AB \) is equal to the length of segment \( XY \).

Front

What is the significance of the symbol \( \cong \)?

Back

The symbol \( \cong \) indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

If \( \Delta ABC \cong \Delta XYZ \), what can we say about the sides?

Back

We can say that \( \overline{AB} \cong \overline{XY} \), \( \overline{BC} \cong \overline{YZ} \), and \( \overline{AC} \cong \overline{XZ} \).

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

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

Front

If \( \Delta ABC \cong \Delta DEF \), what can we conclude about the segments \( \\overline{AC} \) and \( \\overline{XZ} \)?

Back

We can conclude that \( \overline{AC} \cong \overline{XZ} \).

Front

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

Back

The Side-Side-Side (SSS) criterion states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

If \( \angle A \cong \angle D \), what can we infer about triangles \( \Delta ABC \) and \( \Delta DEF \)?

Back

We can infer that if \( \angle A \cong \angle D \) and the triangles are congruent, then the other corresponding angles and sides are also congruent.