I believe it means sides like each other on different objects - as in two triangles - each has a hypoteneuse.
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CPCTC is an acronym for the phrase 'corresponding parts of congruent triangles are congruent' It means that once we know that two triangles are congruent, we know that all corresponding sides and angles are congruent.
Two shapes are similar when the sides of one are directly proportional to the corresponding sides of the other. That all the corresponding angles are equal.
Corresponding sides are sides that have the exact same length.
polygons that have corresponding angles congruent and corresponding sides proportional
The ratio of the corresponding sides is the same for each pair.