Geometry

Justine Lane

Circles: Central and Inscribed Angles


  • 1. Inscribed Angle Conjectures
  • 2. Arcs Intercepted by Two Secant Lines
  • 3. Properties of a Parallelogram

1.

Inscribed Angle Conjectures

Grab points A and/or C and move them around on circle O. What do you notice about the ratio of θ:β? Move point B around on circle O. What do you notice about the measure of angle B (θ)?

Complete the following Conjectures: [b]Inscribed Angle Conjecture[/b] The measure of an angle inscribed in a circle is ___________________________? [b]Inscribed Angles Intercepting Arcs Conjecture[/b] Inscribed angles that intercept the same arc are ________________?
– Mr. Heasly

2.

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3.

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