CPCTC is used in a proof to conclude which of the following about corresponding segments when two triangles are known to be congruent?

CPCTC is used in a proof to conclude which of the following about corresponding segments when two triangles are known to be congruent?

• A. They are congruent
• B. They are perpendicular
• C. They are supplementary
• D. They are dissimilar

Answer: (A)

CPCTC stands for corresponding parts of congruent triangles are congruent. The key idea is: once two triangles are proven congruent, every pair of corresponding sides and angles must have the same measure. So for corresponding segments, you can conclude they are congruent because they match up precisely in the congruent triangles. Perpendicular or supplementary are properties of angles or line relationships, not guaranteed by triangle congruence, and dissimilar is the opposite of congruent, which would contradict the given. Thus the best conclusion is that the corresponding segments are congruent.

CPCTC stands for corresponding parts of congruent triangles are congruent. The key idea is: once two triangles are proven congruent, every pair of corresponding sides and angles must have the same measure. So for corresponding segments, you can conclude they are congruent because they match up precisely in the congruent triangles. Perpendicular or supplementary are properties of angles or line relationships, not guaranteed by triangle congruence, and dissimilar is the opposite of congruent, which would contradict the given. Thus the best conclusion is that the corresponding segments are congruent.