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Inscribed Angles and Polygons
Geometry · 9th Grade · Circles · Quarter 4

Inscribed Angles and Polygons

Discover the inscribed angle theorem and its corollaries, which relate the measure of an inscribed angle to its intercepted arc. You will also investigate the unique properties of polygons inscribed in circles.

Common Core State StandardsCommon Core State Standards: Geometry - Circles - Prove properties of angles for a quadrilateral inscribed in a circleCommon Core State Standards: Geometry - Circles - Construct the inscribed and circumscribed circles of a triangle

About This Topic

Discover the inscribed angle theorem and its corollaries, which relate the measure of an inscribed angle to its intercepted arc. You will also investigate the unique properties of polygons inscribed in circles.

Key Questions

  1. Explain the relationship between the measure of an inscribed angle and the measure of its intercepted arc.
  2. Analyze the properties of a quadrilateral inscribed in a circle, particularly its opposite angles.
  3. Compare a central angle and an inscribed angle that intercept the same arc.

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Edited by Adriana Perusin, Editor-in-Chief, Flip Education