Explore the properties of inscribed angles by following these steps.

✓ 1. Move point C and observe how the angle measures change.
When #& \overset{\frown}{\sf AC}#& changes,
m∠ABC and m∠ADC change do not change and are always equal not equal to each other.

✓ 2. Move points D and B and observe how the angle measures change.
What happens to the angle measures? They change. They do not change.

✓ 3. The measure of each inscribed angle is equal to 1/2 1 2 times the measure of the intercepted arc.