Euclidian geometry


              

Grade 10-12 Study Guides: Clever Books 011 731 3300 (South Africa)

gerrit stols

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© 2010 Gerrit Stols

                              Interactive graphs

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geometry: angles & lines Euclidian geometry: circle
vertical opposite angles

line through centre and midpoint of chord

angles on a straight line line from centre perpendicular to chord
  angle at the centre and circumference
geometry: parallel lines angle on diameter of circle
corresponding angles angles at circumference in same segment
alternate angles cyclic quad: equal angles
co-interior angles opposite angles of cyclic quad
  cyclic quad: opposite angles
geometry: triangles exterior angle of cyclic quad
sum of interior angles tangent and radius
exterior angle & opposite interior angle perpendicular line to tangent
Pythagoras theorem tangents from same point
Isosceles and equilateral triangles angle between tangent and chord
   
geometry: quadrilaterals  
trapezium  
parallelogram  
rectangle  
square  
kite  
rhombus  
   

Example from grade 10 book: