In geometry, "Corresponding parts of congruent triangles are congruent" (CPCTC) is a succinct statement of a theorem regarding congruent trigonometry, defined as triangles either of which is an isometry of the other. CPCTC states that if two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well. CPCTC is useful in proving various theorems about triangles and other polygons.
If triangles ABC and DEF are congruent, denoted as
with corresponding pairs of angles at vertices A, D; B, E; and C, F, and with corresponding pairs of sides AB, DE; BC, EF; and CA, FD, then the following statements are true:
- "Congruent Triangles". Cliff's Notes. Retrieved 2014-02-04.
- "CPCTC means 'Corresponding parts of congruent triangles are congruent' and...". Mathware House. Retrieved 2014-02-04.
corresponding parts of congruent triangles are congruent
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