# Inscribed Angle Theorem

Topic:
Angles
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?