Central Angles, Inscribed Angles, and Intercepted Arcs

This lesson is to be used to discover relationships between central angles, inscribed angles and the measure of the intercepted arc.[br]Follow the directions and answer the questions below.
Central Angle and Arc Measure
[b]Directions:[/b][br]o Check on the checkbox to Show[color=#ff0000] Central Angle[/color] and its [color=#ff0000]Measure[/color][br]o Check on the checkbox to Show[color=#0000ff] Arc[/color] and its [color=#0000ff]Measure[/color][br]o Drag points C and D and record at least three measures:[br][list=1][*]< 180[sup]o[/sup][/*][*][sup] [/sup]= 180[sup]o[/sup][/*][*]> 180[sup]o[/sup][br][sup][/sup][/*][/list][br][b][color=#0000ff]Make a conjecture about the relationship between a central angle and its intercepted arc:[/color][/b]
Inscribed Angles and Arc Measures
[b]Directions:[/b][br]o Check on the checkbox to Show Inscribed Angle and its Measure[br]o Drag points E, C and D and record at least three measures:[br][list=1][*]< 180[sup]o[/sup][/*][*][sup] [/sup]= 180[sup]o[/sup][/*][*]> 180[sup]o[/sup][/*][/list][b][color=#0000ff][br]Make a conjecture about the relationship between an inscribed angle and its intercepted arc.[br][/color][/b]
Central Angles Vs. Inscribed Angles
[b][color=#0000ff][b][color=#0000ff]Make a conjecture about the relationship between a central angle and an inscribed angle.[/color][/b][/color][/b]
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Information: Central Angles, Inscribed Angles, and Intercepted Arcs