[color=#cc0000][b]Students:[/b][/color][br]The directions for this activity can be found below the applet.
Use the [b]Segment[/b] tool to construct the following: [br][br]Segment [b][color=#1e84cc][i]AB[/i].[/color][/b][br]Segment [color=#1e84cc][b][i]CB[/i].[/b][/color]
Use the [b]Angle [/b]tool to find and display the measure of this inscribed angle. [br][br]Click the [b]Angle Button[/b] on the tool bar. Then click point [b][color=#1e84cc]C[/color] [/b]then point [b]B[/b] then point [color=#1e84cc][b]A[/b][/color]to display the angle measure.
Use the [b]Line Segment[/b] tool to construct the following.[br][br]Line Segment [b][color=#1e84cc][i]AO[/i].[/color][/b][br]Line Segment [color=#1e84cc][b][i]CO[/i].[/b][/color] [br]
Use the [b]Angle [/b]tool to find and display the measure of this Central angle. [br][br]Click the [b]Angle Button[/b] on the tool bar. Then click point [b][color=#1e84cc]C[/color] [/b]then point [b]O[/b] then point [color=#1e84cc][b]A[/b][/color]to display the angle measure.
[b]How does the measure of the inscribed angle compare with the measure of the central angle [/b]that intercepts the [color=#1e84cc][b]same arc[/b][/color]? (Feel free to move [color=#1e84cc][b]points [i]A[/i][/b][/color] and [i][color=#1e84cc][b]C[/b][/color][/i] around!)
Click the [b]Show Other Point[/b] checkbox to display another point ([color=#666666][b]point [i]D[/i][/b][/color]) on the [color=#ff00ff][b]pink arc[/b][/color]. [br]Then create an inscribed angle with [color=#666666][b]vertex [i]D[/i][/b][/color] that intercepts [color=#1e84cc][b]arc [i]AC[/i][/b][/color]. [br]Then measure this angle. [br]What do you notice?
What, overall, can you conclude from this investigation? Can you come up with 2 conclusions? [br]