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Transcript
RulesinGeometry Thisistheminimumyouareallowedtowritewhengivingreasons. Lines • Verticallyoppositeanglesareequal. • Anglesonastraightlineaddupto180 O • Anglesatapointaddupto360° Trianglesandquadrilaterals: • Anglesinatriangleaddupto180° • Baseanglesofanisoscelestriangleareequal. • Anglesinanequilateraltriangleareequal. • Anglesinaquadrilateraladdupto360O • Anexteriorangle(ofatriangle)isequaltothesumofthe internaloppositeangles. Polygons: • Exterioranglesofapolygonaddupto360O. • Theinteriorandexteriorangleofanypolygonaddupto180O. Parallellines: • Alternateanglesareequal. • Correspondinganglesareequal. • Co-interioranglesaddupto180O. CircleTheorems: • Thetangenttoacircleisperpendicular(90O)totheradius. • Tangentsfromanexternalpointareequalinlength. • Anglesinasemicircleare90°. • Anglesinthesamesegmentareequal. • Theangleatthecentreofacircleistwicetheangleatthe circumference. • Oppositeanglesofacyclicquadrilateraladdto180O. • Alternatesegmenttheorem.
