CPCTC stands for which statement?

CPCTC stands for which statement?

• A. Corresponding Parts of Congruent Triangles are Congruent
• B. Congruent Parts of Triangles Consequences Theorem
• C. CPCTC applies to similar triangles
• D. CPCTC is unrelated to triangle congruence

Answer: (A)

The key idea is that once two triangles are proven congruent, their corresponding parts are equal as well. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, and it’s used after you’ve shown two triangles are congruent (by SSS, SAS, ASA, AAS, or HL) to conclude that matching sides and matching angles are equal. This is why the statement that CPCTC is about corresponding parts of congruent triangles being congruent is the best fit. It’s not about similar triangles, where sides are proportional rather than equal, and it’s not a different named theorem or unrelated to congruence.

The key idea is that once two triangles are proven congruent, their corresponding parts are equal as well. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, and it’s used after you’ve shown two triangles are congruent (by SSS, SAS, ASA, AAS, or HL) to conclude that matching sides and matching angles are equal. This is why the statement that CPCTC is about corresponding parts of congruent triangles being congruent is the best fit. It’s not about similar triangles, where sides are proportional rather than equal, and it’s not a different named theorem or unrelated to congruence.