Relationship Between Inscribed Angle and Intercepted Arc

Step 1: Drag B and see how the measure of angle DCB and the measure of arc DB change. Step 2: How are the measures of the inscribed angle and the intercepted arc related? Step 3: Uncheck the measure of the arc, change the measure of angle DCB. Step 4: Calculate the measure of the arc, then check the measure of the arc box to see if you are correct. Step 5: Repeat steps 3 and 4 at least 3 times. Step 6: Uncheck the measure of the angle box. Step 7: Change the size of the measure of the arc and calculate the inscribed angle. Step 8: Check the box to check your answer. Step 9: Repeat steps 6-8 at least three times.

The measure of the inscribed angle is ______________ the measure of the intercepted arc.