AAA

In both hyperbolic geometry and spherical geometry, the AAA theorem holds:

Theorem 1.

If two triangles have all three pairs of corresponding angles congruent, then the triangles are congruent.

Because of this theorem, we have that, in hyperbolic geometry and spherical geometry, similar triangles are congruent.

Title	AAA
Canonical name	AAA
Date of creation	2013-03-22 17:08:40
Last modified on	2013-03-22 17:08:40
Owner	Wkbj79 (1863)
Last modified by	Wkbj79 (1863)
Numerical id	7
Author	Wkbj79 (1863)
Entry type	Theorem
Classification	msc 51M10
Synonym	AAA theorem