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

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

If \( \Delta ABC \cong \Delta DEF \), what can be said about \( \overline{AB} \)?

Back

\( \overline{AB} \cong \overline{DE} \) because corresponding sides of congruent triangles are equal.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

The corresponding angles in congruent triangles are equal.

Front

If two triangles are congruent, how many pairs of corresponding sides are congruent?

Back

All three pairs of corresponding sides are congruent.

Front

What is the significance of the symbol '≅' in geometry?

Back

The symbol '≅' indicates that two figures are congruent, meaning they have the same shape and size.

Front

How can you prove that two triangles are congruent?

Back

You can prove two triangles are congruent using various methods such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What does the SSS congruence criterion state?

Back

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

Front

What does the SAS congruence criterion state?

Back

The SAS (Side-Angle-Side) congruence criterion 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 triangles are congruent.

Front

What is the AAS congruence criterion?

Back

The AAS (Angle-Angle-Side) congruence criterion 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 triangles are congruent.