What do you notice about the angle and the arc above? What do you wonder?
Use the angle tool to find the approximate degree measure of [math]\angle CAB[/math]. Write down your angle measure below.
Write down the measure of [math]\angle CDB[/math]
Make a conjecture about the relationship between an [i]inscribed angle[/i] and the [i]central angle[/i] that is part of the same arc using what you discovered.
[size=200]Now, try to place point [b]D[/b] in another area on the circle.[br]Find the angle measures just like you did above.[/size]
What do you notice different about the shape of the center angle and the inscribed angle from before? [br]*If your shape looks familiar, try to discover a place to put point [b]D [/b]that makes the shape look completely different.
Would [math]\angle CDB,\angle CEB,and\angle CFB[/math]have the same or different measures? Explain your answer.