Two geometric figures are said to exhibit geometric congruence (or "be geometrically congruent") iff one can
be transformed into the other by an isometry (Coxeter
and Greitzer 1967, p. 80). This relationship is written 
. (Unfortunately, the symbol 
is also used to denote an isomorphism.)
Geometric Congruence
See also
Affine Transformation, Congruent, Euclid's Postulates, IsometryExplore with Wolfram|Alpha
References
Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., p. 80, 1967.Referenced on Wolfram|Alpha
Geometric CongruenceCite this as:
Weisstein, Eric W. "Geometric Congruence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GeometricCongruence.html