what does cpctc represent and when would you use it
CPCTC stands for "corresponding parts of congruent triangles are congruent." This is a theorem used in geometry to show that when two triangles are congruent, their corresponding sides, angles, and other corresponding parts are also congruent.
CPCTC is useful in various geometric proofs. It allows us to make conclusions about the corresponding parts of congruent triangles without having to prove them separately. By showing that two triangles are congruent using methods such as Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Side-Side-Side (SSS), we can then apply CPCTC to state that their corresponding parts are also congruent. This can be helpful in proving additional angles or side lengths are congruent in complex figures involving triangles or for solving geometric problems.