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Corresponding Parts
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
Corresponding parts are the matching sides and angles of two figures, usually triangles, that are in the same relative position.
Key points:
In congruent figures, corresponding parts are congruent.
In similar figures, corresponding angles are congruent, and corresponding sides are proportional.
The order of the letters in a congruence or similarity statement shows which parts correspond.
Example
If triangle ABC is congruent to triangle DEF, then the corresponding parts are:
Angles: ∠A≅∠D, ∠B≅∠E, ∠C≅∠F
Sides: AB≅DE, BC≅EF, AC≅DF
This is often written as CPCTC: Corresponding Parts of Congruent Triangles are Congruent.
Video
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