Inscribed Angles

In the figure below, angle ACB is called an inscribed angle and arc AB is called the intercepted arc of angle ACB.

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GeoGebra Applet pictured above: ch10_inscribedAngle.ggb.

1. Describe the relationship between an inscribed angle and its intercepted arc. Test your conjecture for different angle measures.

 

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1. Make a conjecture about two inscribed angles that intercept the same arc. Test your conjecture.

 

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1. Make a conjecture about the angles of quadrilateral inscribed in a circle. Test your conjecture.

 

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1. Make a conjecture about an angle formed by a tangent and a chord. Test your conjecture.