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 \( \angle A \)?

Back

\( \angle A \cong \angle D \). This is because corresponding angles of congruent triangles are equal.

Front

What is the relationship between the sides of congruent triangles?

Back

If two triangles are congruent, then their corresponding sides are also congruent.

Front

If \( \Delta ABC \cong \Delta XYZ \), what can we say about \( \overline{AB} \)?

Back

\( \overline{AB} \cong \overline{XY} \). This means that the corresponding sides of the congruent triangles are equal.

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 \( \angle C \cong \angle F \), what can we infer about triangles \( \Delta ABC \) and \( \Delta DEF \)?

Back

If \( \angle C \cong \angle F \) and the triangles are congruent, then \( \Delta ABC \cong \Delta DEF \) implies that all corresponding angles are equal.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

If \( \Delta ABC \cong \Delta DEF \), what can we conclude about \( \overline{CA} \)?

Back

\( \overline{CA} \cong \overline{ED} \). This means that the corresponding sides of the congruent triangles are equal.

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 \( \overline{EF} \cong \overline{GH} \), what does this imply?

Back

This implies that the lengths of segments EF and GH are equal.