Inscribed Angle Theorem
Students:
The directions for this activity can be found below the applet.
1)
Use the Segment tool to construct the following:
Segment AB.
Segment CB.
2)
Use the Angle tool to find and display the measure of this inscribed angle.
Click the Angle Button on the tool bar. Then click point C then point B then point Ato display the angle measure.
3)
Use the Line Segment tool to construct the following.
Line Segment AO.
Line Segment CO.
4)
Use the Angle tool to find and display the measure of this Central angle.
Click the Angle Button on the tool bar. Then click point C then point O then point Ato display the angle measure.
5)
How does the measure of the inscribed angle compare with the measure of the central angle that intercepts the same arc? (Feel free to move points A and C around!)
7.
Click the Show Other Point checkbox to display another point (point D) on the pink arc. Then create an inscribed angle with vertex D that intercepts arc AC. Then measure this angle. What do you notice?
8.
What, overall, can you conclude from this investigation? Can you come up with 2 conclusions?