Learning Resources

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Outcomes

In this lesson you will

  • prove tangent properties using coordinate geometry
  • solve problems using tangents
  • use the point slope form of the equation of a line

By the end of this section students will be able to:

  • apply inductive reasoning to make conjectures in geometric situations
  • investigate and make and prove conjectures associated with angle relationships in circles
  • write proofs using various axiomatic systems and assess the validity of deductive arguments
  • investigate and make and prove conjectures associated withtangent properties of circles
  • apply properties of circles
  • solve problems involving the equations and characteristics of circles and ellipses
  • develop and apply formulas for distance and midpoint

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • distance and midpoint formulas
  • determine equations of lines given the slope and a point on the line
  • the shortest distance to a line is the perpendicular distance
  • solving systems of equations