“CPCTC” is an acronym which stands for “corresponding parts of congruent (http://planetmath.org/Congruent2) triangles (http://planetmath.org/Triangle) are congruent.” In other , if


then all of the following are true:

  • AD;

  • AB¯DE¯;

  • BE;

  • BC¯EF¯;

  • CF;

  • AC¯DF¯.

Note.  The notation in (1) indicates that the isomorphismMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath in question maps AD,  BE,  and  CF.

Canonical name CPCTC
Date of creation 2013-03-22 17:12:09
Last modified on 2013-03-22 17:12:09
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 7
Author Wkbj79 (1863)
Entry type Definition
Classification msc 51-00
Synonym corresponding parts of congruent triangles are congruent