# Inscribed Angles and Intercepted Arcs

- Author:
- Anthony DiLaura

Drag the points of the sketch around to discover the relationship between the measure of inscribed angles and their intercepted arcs. Answer the questions below the sketch as you go.

1. Name the inscribed angle. Name the intercepted arc.
2. Change the the measure of the inscribed angle 4 times and record both the measure of the inscribed angle and its intercepted arc.
3. Compare the 4 recordings. What is the relationship of the inscribed angle to the intercepted arc?
4. What is the relationship of the intercepted arc to the inscribed angle?
5. If you were given an inscribed angle of 19.5 degrees, what would you predict the intercepted arc to measure?