# Central Angles, Inscribed Angles, and their Intercepted Arcs

- Author:
- Alyse Hamilton, Stephanie Stern

- Topic:
- Angles

This lesson is to be used to discover relationships between central angles, inscribed angles and the measure of the intercepted arc.

Directions:
o Check on the checkbox to Show Central Angle and its Measure
o Check on the checkbox to Show Arc and its Measure
o Drag points C and D and record at least three measures:
o Make a conjecture about the relationship between a central angle and its intercepted arc:
o Check on the checkbox to HIDE Central Angle and its Measure
o Check on the checkbox to Show Inscribed Angle and its Measure
o Drag points E, C and D and record at least three measures:
o Make a conjecture about the relationship between a central angle and its intercepted arc: