The five of Hilbert's axioms which concern geometric equivalence.
Congruence Axioms
See also
Continuity Axioms, Geometric Congruence, Hilbert's Axioms, Incidence Axioms, Ordering Axioms, Parallel PostulateExplore with Wolfram|Alpha
References
Hilbert, D. The Foundations of Geometry, 2nd ed. Chicago, IL: Open Court, 1980.Iyanaga, S. and Kawada, Y. (Eds.). "Hilbert's System of Axioms." §163B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 544-545, 1980.Referenced on Wolfram|Alpha
Congruence AxiomsCite this as:
Weisstein, Eric W. "Congruence Axioms." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CongruenceAxioms.html