PlanetMath: CPCTC

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CPCTC

(Definition)

“CPCTC” is an acronym which stands for “corresponding parts of congruent triangles are congruent.” In other words, if

$\displaystyle \triangle ABC \cong \triangle DEF,$

(1)

then all of the following are true:

$\angle A \cong \angle D$ ;
$\overline{AB} \cong \overline{DE}$ ;
$\angle B \cong \angle E$ ;
$\overline{BC} \cong \overline{EF}$ ;
$\angle C \cong \angle F$ ;
$\overline{AC} \cong \overline{DF}$ .

Note. The notation in (1) indicates that the isomorphism in question maps $A\mapsto D$ , $B\mapsto E$ , and $C\mapsto F$ .

"CPCTC" is owned by Wkbj79. [ full author list (2) ]

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Other names:

corresponding parts of congruent triangles are congruent

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Cross-references: maps, isomorphism
There are 8 references to this entry.

This is version 4 of CPCTC, born on 2007-06-04, modified 2007-06-05.
Object id is 9522, canonical name is CPCTC.
Accessed 1605 times total.

Classification:

AMS MSC:

51-00 (Geometry :: General reference works )

Pending Errata and Addenda

None.

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