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Home arrow Curriculum arrow NT Year 11 - 13: Planar Geometry

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NT Year 11 - 13: Planar Geometry
  1. Adjacent Angles
  2. Complementary and Supplementary Angles
  3. Vertically Opposite Angles
  4. Parallel Lines
  5. Additional questions involving parallel lines
  6. Recognise and name triangles
  7. Special triangles
  8. Geometric Constructions
  9. Congruent triangles: Tests 1 and 2
  10. Congruent triangles: Tests 3 and 4
  11. Proofs and Congruent Triangles
  12. Similar Triangles
  13. Using Similar Triangles to Calculate Lengths
  14. Examples involving overlapping triangles
  15. The Triangle Inequality Theorem
  16. Midsegments
  17. Pythagoras' Theorem: Finding the Hypotenuse
  18. Using Pythagorean Triples to Identify Right Triangles
  19. Calculating the Hypotenuse of a right-angled Triangle
  20. Calculating a Leg of a right-angled Triangle
  21. Points, Lines and Planes
  22. Angles
  23. Angle Bisector Construction and its Properties
  24. Circumcenter and Incenter
  25. Orthocentre and Centroids
  26. Quadrilaterals 1
  27. Properties of Parallelograms - Opposite Angles Equal
  28. Properties of Parallelograms - Diagonals, Sides and Angles
  29. The Parallelogram Umbrella
  30. Properties of Trapezoids
  31. Quadrilaterals 6
  32. Constructions and Loci 1: Transformations
  33. Constructions and Loci 2
  34. Vectors Samples
  35. Vector Addition in 2 and 3D
  36. Polar Coordinates - Plotting and Converting
  37. Converting Rectangular Coordinates to Polar Form
  38. Graphing Polar Functions
  39. Inductive and Deductive Reasoning
  40. Disproof of Counter Example
  41. Proof by Disproof of a Contradictory Statement
  42. Mathematical induction
  43. Conditional statements (converse, inverse and contrapositive) (Stage 2)
  44. Theorem - Equal arcs subtend equal angles at the centre
  45. Theorem - The perpendicular from the centre to a chord bisects the chord
  46. Theorem - Equal chords in a circle are equidistant from the centre
  47. Theorem - The angle at the centre is double the angle at the circumference
  48. Theorem: Angles in the same segment of a circle are equal
  49. Theorem: The angle of a semi-circle is a right angle
  50. Theorem: The opposite angles of a cyclic quadrilateral are supplementary
  51. Theorem - Exterior angle of cyclic quadrilateral equals interior opposite angles
  52. Theorem - At the point of contact a tangent is perpendicular to the radius
  53. Theorem: Tangents to a circle from an external point are equal
  54. Theorem - Angle between a tangent and chord equals angle in alternate segment
  55. Theorem - If the opposite angles in a quadrilateral are supplementary then the quadrilateral is cyclic.

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