Secant Angle Theorem, Exterior Case

It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous lesson to investigate angles created by secant lines that intersect at a point exterior to the circle. They then extend this new concept to when one or both of the lines are tangent rather than secant lines.

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CCSS: Designed
Instructional Ideas

  • Use geometry software to show the concept highlighted in the Example section
Classroom Considerations

  • Learners need protractors to complete the lesson
  • Lesson assumes understanding of the case where secants intersect in the interior of the circle
Pros

  • Closing exercise includes a table for learners to fill out regarding all theorems associated with the Inscribed Angle Theorem
  • Problem set includes exercises in which pupils must use given information to determine angle measures 
Cons

  • None
Common Core