CPCTC stands for which statement?

CPCTC stands for which statement?

• A. Congruent Parts of Triangles Are Corresponding.
• B. Corresponding Parts of Congruent Triangles are Congruent.
• C. Corresponding Parts of Congruent Triangles are Collinear.
• D. Corresponding Parts of Similar Triangles are Congruent.

Answer: (B)

The main idea is that once two triangles are proven congruent, all their corresponding parts match in measure. CPCTC states that Corresponding Parts of Congruent Triangles are Congruent. So, after establishing that two triangles are congruent, you can conclude that their corresponding sides are equal and their corresponding angles are equal. For example, if triangle ABC is congruent to triangle DEF, then AB corresponds to DE, BC to EF, and AC to DF, so AB = DE, BC = EF, AC = DF, and corresponding angles are equal as well. This principle is used after a congruence proof (via SSS, SAS, ASA, AAS, or RHS) to finish the argument. It does not apply to similar triangles, where you get proportionality rather than exact equality, and it isn’t about collinearity of points.

The main idea is that once two triangles are proven congruent, all their corresponding parts match in measure. CPCTC states that Corresponding Parts of Congruent Triangles are Congruent. So, after establishing that two triangles are congruent, you can conclude that their corresponding sides are equal and their corresponding angles are equal. For example, if triangle ABC is congruent to triangle DEF, then AB corresponds to DE, BC to EF, and AC to DF, so AB = DE, BC = EF, AC = DF, and corresponding angles are equal as well.

This principle is used after a congruence proof (via SSS, SAS, ASA, AAS, or RHS) to finish the argument. It does not apply to similar triangles, where you get proportionality rather than exact equality, and it isn’t about collinearity of points.