CPCTC

In geometry, CPCTC is the abbreviation of a theorem asserting that two triangles are congruence (geometry). 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 :

\triangle ABC \cong \triangle DEF\,

then the following conditions are true: :

AB \cong DE\,

BC \cong EF\,

AC \cong DF

\angle BAC \cong \angle EDF\,

\angle ABC \cong \angle DEF\,

\angle BCA \cong \angle EFD.\,

A related theorem is CPCFC, in which ''triangles'' is replaced with ''figures'' so that the theorem applies to any polygon or polyhedron. ==External links== *[http://mathforum.org/library/drmath/view/55397.html Dr. Math explains the importance of CPCTC] *[http://www.geocities.com/karadimosmd/cpctc.html A poem for CPCTC] Theorems

CPCTC

The word "because" seems to reverse the proper roles of "if" and "then". The first paragraph seems to say that if the triangles are congruent, then so are the corresponding parts. But the word "because" appearing later appears to rely on a proposition saying that if the corresponding parts are congruent, then so are the triangles. Of course both are true, but they're separate propositions, and whoever wrote this appears not to appreciate that. User:Michael Hardy 02:53, 22 Mar 2005 (UTC) :I am the author. You have brought up valid points. ''Because'' has different algebraic connotations that ''if'' and ''then''. I will revise the article to reflect proper terminology. --Merovingian">User:Merovingian User talk:Merovingian Special:Contributions/Merovingian Special:Watchlist/Merovingian 05:25, Mar 22, 2005 (UTC)

See other meanings of words starting from letter:

C

CA | CB | CD | CE | CF | CG | CH | CI | CJ | CK | CL | CM | CN | CO | CP | CR | CS | CT | CU | CW | CX | CY | CZ |

Words begining with CPCTC:

CPCTC
CPCTC