[10.2] Perpendicular Bisector  Draw a Chord AB  Find the Midpoint of AB (Label it M)  From M, draw a line through O  What do you notice? Circle #1.

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Presentation transcript:

[10.2] Perpendicular Bisector  Draw a Chord AB  Find the Midpoint of AB (Label it M)  From M, draw a line through O  What do you notice? Circle #1

Circle #2  Draw a Chord AB  Draw a perpendicular line from O to AB  Label this point C  What do you notice?  Measure AC, BC

Circle #3  Draw a Chord AB  Find the Midpoint of AB (Label it M)  Starting at M, Draw a perpendicular line  What do you notice?

Perpendicular Bisector Theorem  The 3 important features are:  If you have Then:

p389 #4  CD bisects chord AB.  The Radius is 15cm  AB = 24cm  What is the length of CE?