On GeoGebra, draw a circle and label one of its diameters AB (be sure that this diameter goes through the center of the circle). Place a point anywhere else on the circle and rename it C if it is not already. What is the size of angle ACB? Does it depend on which C you choose? Move point C around the circle. Try to justify what you observe.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.2: Angles And Their Relationships
Problem 43E
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On GeoGebra, draw a circle and label one of its diameters AB (be sure that this diameter goes through the center of the circle). Place a point anywhere else on the circle and rename it C if it is not already. What is the size of angle ACB? Does it depend on which C you choose? Move point C around the circle. Try to justify what you observe.

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