15.3 Tangent Lines and Circumscribed Angles

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The GREEN segments are TANGENT LINES.

The points where they intersect with the circle are called POINTS OF TANGENCY.

How would you describe the intersection of a RADIUS drawn to either POINT OF TANGENCY

(the PURPLE angles)?

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What can you conclude about the lengths CD and CE (the GREEN segments)?

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What word describes the relationship between the TANGENT LINE and the RADIUS?  

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The angle at the center is called a CENTRAL ANGLE.

The angle where the two TANGENT LINES intersect is called the CIRCUMSCRIBED ANGLE.

How would you describe the relationship between the CENTRAL ANGLE and CIRCUMSCRIBED ANGLE

(the PINK angles)?