In geometry, CPCTC is the abbreviation of a theorem involving congruent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. CPCTC states that if two or more triangles are congruent, then all of their corresponding parts are congruent as well.

If

$\backslash triangle\; ABC\; \backslash cong\; \backslash triangle\; DEF\backslash ,$

then the following conditions are true:

$AB\; \backslash cong\; DE\backslash ,$

$BC\; \backslash cong\; EF\backslash ,$

$AC\; \backslash cong\; DF$

$\backslash angle\; BAC\; \backslash cong\; \backslash angle\; EDF\backslash ,$

$\backslash angle\; ABC\; \backslash cong\; \backslash angle\; DEF\backslash ,$

$\backslash angle\; BCA\; \backslash cong\; \backslash angle\; EFD.\backslash ,$

A related theorem is CPCFC, in which triangles is replaced with figures so that the theorem applies to any polygon or polyhedron.

External links

• Dr. Math explains the importance of CPCTC
• A poem for CPCTC
• Definitions for almost all math terms