The Inscribed Angle Alternate – A Tangent Angle

You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound knowledge to an exercise set.

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CCSS: Designed
Instructional Ideas

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

  • Exploratory challenge requires a protractor and a ruler
  • The lesson uses the Inscribed Angle Theorem covered in previous lessons
  • The 14th installment of a 23-part module

  • Learners explore concrete examples, then develop a proof of the more general case
  • Closing activity reviews all knowledge learners should know about tangent lines

  • None
Common Core