Relating Central and Inscribed Angle
Relating Central and Inscribed Angle
Explore how an inscribed angle compares to the central angle that intercepts the same arc.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
If you move the vertex of the inscribed angle along the circle without changing the endpoints of the arc, does the angle measure change?
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Open-ended question 2
What relationship do you observe in the app above between a central angle and an inscribed angle that intercept the same arc?
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Open-ended question 3
If the arc is a semicircle, what are the measures of the central and inscribed angles, respectively?
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Open-ended question 4
Explore the provided proof without words. What properties of triangles are implied in each step?
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Prerequisite Resources
More from Arc Properties of Circles
