In this section, you will investigate the relationship between two angles that intercept the same arc of a circle.

Create a table similar to the one below in your notes.

m∠BCD	m∠BED

This activity might not be viewable on your mobile device. Interactive exercise. Assistance may be required. Using the applet, http://www.geogebratube.org/student/b73723#material/27584:

Click on the two boxes on the left, Inscribed Angle #1 and Inscribed Angle #2.
Observe the measures of the inscribed angles while moving Points C and E individually around the circle.
Record the values in the table.

Journal Entry: Describe the relationship between the two angles. If the radius of the circle changed would the measures of the angles change? Explain.

Interactive popup. Assistance may be required.

Check Your Answer

The measures of the angles are always equal because they are both inscribed angles with the same arc. The length of the radius would NOT affect the measure of the angles or the arc length because the measures of the angles correlate to angle measures between 0 and 360 degrees, not the length of the radius.