Central Angles, Inscribed Angles, and Circumscribed Angles
This lesson is to be used to discover relationships between Central Angles, Inscribed Angles and Circumscribed 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 B and G 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 B, G and I and record at least three measures:
o Make a conjecture about the relationship between the inscribed angle and its intercepted arc:
o Check on the checkbox to HIDE Inscribed Angle and its Measure
o Check on the checkbox to Show Circumscribed Angle and its Measure
o Check on the checkbox to Show Smaller Arc and its Measure
o Drag points B, G, and A and record at least three measures:
o Make a conjecture about the relationship between the circumscribed angle and its intercepted arcs: