# Central Angles, Inscribed Angles, and Intercepted Arcs

- Topic:
- Angles

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

## Central Angle and Arc Measure

**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:

- < 180
^{o} ^{ }= 180^{o}- > 180
^{o}^{}

**Make a conjecture about the relationship between a central angle and its intercepted arc:**

## Inscribed Angles and Arc Measures

**Directions:**
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:

- < 180
^{o} ^{ }= 180^{o}- > 180
^{o}

**Make a conjecture about the relationship between an inscribed angle and its intercepted arc.**

## Central Angles Vs. Inscribed Angles

**Make a conjecture about the relationship between a central angle and an inscribed angle.**