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AAA∗ Wkbj79† 2013-03-21 22:59:52 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. ∗ hAAAi created: h2013-03-21i by: hWkbj79i version: h39452i Privacy setting: h1i hTheoremi h51M10i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1