CPCTC
“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
$\mathrm{\u25b3}ABC\cong \mathrm{\u25b3}DEF,$  (1) 
then all of the following are true:

•
$\mathrm{\angle}A\cong \mathrm{\angle}D$;

•
$\overline{AB}\cong \overline{DE}$;

•
$\mathrm{\angle}B\cong \mathrm{\angle}E$;

•
$\overline{BC}\cong \overline{EF}$;

•
$\mathrm{\angle}C\cong \mathrm{\angle}F$;

•
$\overline{AC}\cong \overline{DF}$.
Note. The notation in (1) indicates that the isomorphism^{} in question maps $A\mapsto D$, $B\mapsto E$, and $C\mapsto F$.
Title  CPCTC 

Canonical name  CPCTC 
Date of creation  20130322 17:12:09 
Last modified on  20130322 17:12:09 
Owner  Wkbj79 (1863) 
Last modified by  Wkbj79 (1863) 
Numerical id  7 
Author  Wkbj79 (1863) 
Entry type  Definition 
Classification  msc 5100 
Synonym  corresponding parts of congruent triangles are congruent 