# Inscribed Angle Theorem

- Author:
- Kelly Kulp, Tim Brzezinski

- Topic:
- Angles

**Students:**The directions for this activity can be found below the applet.

## 1)

Use the

**Segment**tool to construct the following: Segment**Segment***AB*.*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**A**to display the angle measure.## 3)

Use the

**Line Segment**tool to construct the following. Line Segment**Line Segment***AO*.*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**A**to 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

*around!)*

**C**## 7.

Click the **Show Other Point** checkbox to display another point (**point D**) on the

**pink arc**. Then create an inscribed angle with

**vertex**that intercepts

*D***arc**. Then measure this angle. What do you notice?

*AC*## 8.

What, overall, can you conclude from this investigation? Can you come up with 2 conclusions?