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AAA (Theorem)

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

Theorem   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.



"AAA" is owned by Wkbj79.
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Other names:  AAA theorem

Attachments:
proof of AAA (hyperbolic) (Proof) by Wkbj79
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Cross-references: similar triangles, congruent, angles, triangles, spherical geometry, hyperbolic geometry
There are 5 references to this entry.

This is version 4 of AAA, born on 2007-05-23, modified 2008-02-21.
Object id is 9452, canonical name is AAA.
Accessed 1447 times total.

Classification:
AMS MSC: 51M10 (Geometry :: Real and complex geometry :: Hyperbolic and elliptic geometries and generalizations)
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