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Geometric Congruence


Geometric congruence is the relation between two geometric figures that can be transformed into one another by an isometry (Coxeter and Greitzer 1967, p. 80). This relationship is written A=B. (Unfortunately, the symbol = is also used to denote an isomorphism.)

Matching hatch marks identify line segments of equal length, while matching angle markers identify angles of equal measure (Florida Department of Education, p. 14).


See also

Affine Transformation, Congruent, Euclid's Postulates, Isometry

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References

Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., p. 80, 1967.Florida Department of Education. Geometry B.E.S.T. Instructional Guide for Mathematics. p. 14. https://cdn.fldoe.org/core/fileparse.php/7576/urlt/Geo-B1G-M.pdf.

Referenced on Wolfram|Alpha

Geometric Congruence

Cite this as:

Weisstein, Eric W. "Geometric Congruence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GeometricCongruence.html

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