Geometry/Chapter 9/Lesson 2

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Introduction[edit | edit source]

  • Properties of Tangents
  • Properties of Arcs and Chords

Properties of Tangents[edit | edit source]

  1. If a line is a tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.

With this property, your teachers will usually throw Pythagorean triples at you for you to solve. Yes... these triples still matter. For example:

  1. If a line in the same plane as a circle is perpendicular to a radius at its endpoint on the circle, then the line is a tangent to the circle.
  2. Two segments tangent to a circle form a point outside the circle are congruent.