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What's Special About Inscribed Angles?

We have already seen that a central angle shares the same measure as the arc it cuts off. How do inscribed angles fit in the mix?

1) DEFINITION: An Inscribed Angle is an an angle with its vertex on the edge of the circle. 2) Two of the three circles below show inscribed angles. Which one doesn't? 3) What do you notice about the size of an inscribed angle when compared to a central angle cutting off the same arc? (Be specific - Drag the identified points to investigate your claim!)