Warm Up 1. Draw Circle O 2. Draw radius OR 3. Draw diameter DM

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Presentation transcript:

Warm Up 1. Draw Circle O 2. Draw radius OR 3. Draw diameter DM 4. Draw chord PQ (that does not go through O) Find the length of a chord that is 15 cm from the center of a circle with a radius of 17 cm. 5.

Theorems If a radius is perpendicular to a chord, then it __________ the chord. If a radius bisects a chord, then it is _________________ the chord. The perpendicular bisector of a chord passes through the ________ of the circle. bisects perpendicular to center

Given: Circle Q Prove:

Homework pg. 443 #1-4, 9, 10, 15

Theorems congruent If two chords are equidistant from the center, they are ___________. If two chords of a circle are congruent, then they are ____________ from the center. equidistant

OP = 12x - 5, OQ = 4x + 19 Find: OP

Homework pg. 447 #2-5, 8, 9,11, 12