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ExamVWOMathema9csB
Listofreferencesandformulas
Euclideangeometry
Referencestodefini3onsandtheoremsinaproofcanbeusedwithoutfurtherexplana-on:
Angles,linesanddistances
straightangle,rightangle,opposingangles,correspondingangles,alternateangles,distancepoint
toline,triangleinequality
Geometricposi>ons
perpendicularbisector,bisector,pairofbisectors,centerparallel,circle,parabola
Triangles
sumofanglesintriangles,externalangleofatriangle;
congruenttriangles:ASA,SAA,SAS,SSS,HL(SSR);
similartriangles:aa,sas,sss,hl(ssr);
perpendicularbisectorsinatriangle,bisectorsinatriangle,al>tudeline,al>tudelinesina
triangle,medianline,medianlinesinacircle,isoscelestriangle,equilateraltriangle,righttrangle,
Pythagorastheorem,right-angledisosceles,halfequilateral.
Quadrangle
sumofanglesinaquadrangle,parallellogram,rhombus,rectangle,square
Circle,chords,arcs,angles,tangent,quadrilateral
chord,arcandchord,normaltoachord,diameter,Thalestheorem,centralangle,circumferen>al
angle,theoremofaconstantangle,tangent,theoremchordandtangent,cyclicquadrilateral.
Trigonometry
$ % $
$ % $
$ % $
$ % $
t#u
t−u
cos
2
2
sin$t#u%=sin$t %cos $u%#sin $u% cos $t%
sin $t%#sin $u%=2 sin
sin $t−u%=sin $t% cos$ u%−sin$ u%cos $t%
sin $t%−sin $u%=2 sin
cos $t #u%=cos$t %cos $u %−sin$u %sin$t %
cos $t%#cos$ u%=2 cos
cos $t −u%=cos$t %cos $u %#sin$u %sin$t %
cos $t%−cos$ u%=−2 sin
t−u
t#u
cos
2
2
%
%
t#u
t−u
cos
2
2
%
t#u
t−u
sin
2
2
%
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