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- AA_postulate abstract "The AA postulate in Euclidean geometry states that two triangles are similar if they have two corresponding angles congruent.The AA postulate works by stating that the interior angles of a triangle are always equal to 180°. By knowing two angles, such as 32° and 64° degrees, we know that the next angle is 84°, because 180-(32+64)=84. (This is sometimes referred to as the AAA Postulate—which is true in all respects, but two angles are entirely sufficient.)The postulate can be better understood by working in reverse order. The two triangles on grids A and B are similar, by a 1.5 dilation from A to B. If they are aligned, as in grid C, it is apparent find that the angle on the origin is congruent with the other (D). We also know that the pair of sides opposite the origin are parallel. We know this because the pairs of sides around them are similar, stem from the same point, and line up with each other. We can then look at the sides around the parallels as transversals, and therefore the corresponding angles are congruent. Using this reasoning we can tell that similar triangles have congruent angles.".
- AA_postulate thumbnail AA_Postulate_Helper.png?width=300.
- AA_postulate wikiPageExternalLink 464Chapter7Sim.Poly.pdf.
- AA_postulate wikiPageID "1406077".
- AA_postulate wikiPageLength "1515".
- AA_postulate wikiPageOutDegree "12".
- AA_postulate wikiPageRevisionID "660919429".
- AA_postulate wikiPageWikiLink Angle.
- AA_postulate wikiPageWikiLink Category:Elementary_geometry.
- AA_postulate wikiPageWikiLink Category:Triangle_geometry.
- AA_postulate wikiPageWikiLink Congruence_(geometry).
- AA_postulate wikiPageWikiLink Euclidean_geometry.
- AA_postulate wikiPageWikiLink Interior_angle.
- AA_postulate wikiPageWikiLink Internal_and_external_angle.
- AA_postulate wikiPageWikiLink Scaling_(geometry).
- AA_postulate wikiPageWikiLink Similarity_(geometry).
- AA_postulate wikiPageWikiLink Transversal_(geometry).
- AA_postulate wikiPageWikiLink Triangle.
- AA_postulate wikiPageWikiLink File:AA_Postulate_Helper.png.
- AA_postulate wikiPageWikiLinkText "AA postulate".
- AA_postulate hasPhotoCollection AA_postulate.
- AA_postulate wikiPageUsesTemplate Template:One_source.
- AA_postulate subject Category:Elementary_geometry.
- AA_postulate subject Category:Triangle_geometry.
- AA_postulate type Article.
- AA_postulate type Article.
- AA_postulate comment "The AA postulate in Euclidean geometry states that two triangles are similar if they have two corresponding angles congruent.The AA postulate works by stating that the interior angles of a triangle are always equal to 180°. By knowing two angles, such as 32° and 64° degrees, we know that the next angle is 84°, because 180-(32+64)=84.".
- AA_postulate label "AA postulate".
- AA_postulate sameAs m.04z_h4.
- AA_postulate sameAs Q4649993.
- AA_postulate sameAs Q4649993.
- AA_postulate wasDerivedFrom AA_postulate?oldid=660919429.
- AA_postulate depiction AA_Postulate_Helper.png.
- AA_postulate isPrimaryTopicOf AA_postulate.