5.4 - CPCTC

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 a congruence statement?

Back

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

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

Front

If triangle EFG is congruent to triangle JKL, what can be inferred about the lengths of EF and JK?

Back

If triangle EFG is congruent to triangle JKL, then the lengths of EF and JK are equal.

Front

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

Back

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

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using several criteria, including Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg (HL) for right triangles.

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

The Side-Angle-Side (SAS) 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 two triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The Angle-Side-Angle (ASA) congruence criterion 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 purpose of using CPCTC in geometric proofs?

Back

CPCTC is used in geometric proofs to justify that corresponding parts of congruent triangles are equal, allowing for conclusions about angles and sides.

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