# Properties of Inscribed Angles

## Directions:

Click on the three boxes. Note the relationship between the three measures shown. Click and drag the points on the circle and determine if the relationship stays the same.

## Define the following terms (write two complete sentences):

Central Angle & Inscribed Angle

## What is the relationship between the central angle and the corresponding intercepted arc measure?

## What is the relationship between the inscribed angle measure and the corresponding intercepted arc measure?

## Bonus!!

Click and drag the red point so that it is within the blue arc. Does the relationship you described in the previous question stay the same? Explain your reasoning.

## Task #2

## Click and drag points A and B. Make note of the the relationship between the two inscribed angle measures.

What is the relationship between the two inscribed angle measures? Why does this make sense?

## Bonus!!

Click on either the red or blue point and drag so that it is in the purple arc. Does the relationship you described in the previous question hold? Explain your reasoning.

## Task #3

## Click on the first box only.

What is the name of the line segment that appears inside the circle? Why is the blue arc called a semi-circle?

## Click on the second box.

What is the measure of the inscribed angle? Does it change if you click and drag the point? Why does this make sense give what you learned in Task #2?

## You're Done!

If you haven't attempted the Bonus questions, please do so now.