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Congruent

Exactly equal in size and shape. Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.

Note: Congruent segments, sides, and angles are often marked.

Congruent Segments Congruent Angles

All four sides of this rhombus are marked to show they are congruent to each other.



The marked angles of this isosceles triangle are congruent to each other.

 

Congruent Triangles      

These triangles are congruent. Corresponding sides and angles are congruent.
Congruent Plane Figures             

These figures are congruent because their shapes and sizes are identical, even though there are no sides or angles to measure and compare.
Congruent Pyramids oblique square pyramid, version 1        oblique square pyramid, version 2
These are congruent figures because their sizes and shapes are identical. Note that corresponding faces of these pyramids are congruent.

 

See also

Similar, congruence tests for triangles, CPCTC, CPCFC

 


  this page updated 28-jul-14
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes