Analytic geometry in a plane

A:

  • Line – parametric description, general equation, point-slope form equation
  • Direction vector and normal vector of a line
  • Line segment, half-line – parametric description
  • Relative position of two lines
  • Perpendicularity of lines
  • Parallelity of lines

B:

  • Distance of a point from a line
  • Distance of two parallel lines
  • Angle of two lines
  • Triangle – medians, heights (altitudes), side perpendicular bisectors
  • Line and point reflection, translation

C:

  • Angles and distances – more complex problems
  • Complex problems covering whole topic