# Central Angles, Inscribed Angles, and their 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:

1. ﻿< 180o
2. = 180o
3. > 180o
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:

1. ﻿< 180o
2. = 180o
3. > 180o
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.