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If you prefer to hear the voiceover of this lesson, go to the “Links” tab on my webpage and open up the “Segments of Circles” link.

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a b c d ab = cd

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9 2 6 x X = 3 3 2 12 x X = 8 3 26 x X = 1 Example 1:

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Example 2: Find x 8 12 2x 3x 2x 3x = 12 8 6x 2 = 96 x 2 = 16 x = 4

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EAB C D EA EB = EC ED

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E A B C D 7 13 4 x 7(7 + 13) 4(4 + x) = Example 3: 140 = 16 + 4x 124 = 4x x = 31

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E A B C D 8 5 6 x 6(6 + 8) 5(5 + x) = Example 4: 84 = 25 + 5x 59 = 5x x = 11.8

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Tangent Segment Secant Segment External Segment Notice that on the tangent segment, the outside is the whole!

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E A B C EA 2 = EB EC

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E A B C 24 12 x 24 2 =12 (12 + x) 576 = 144 + 12x x = 36 Example 5:

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E A B C 15 5 x x2x2 =5 (5 + 15) x 2 = 100 x = 10 Example 6:

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What you should know by now… Given two chords Given two secants OR a tangent and a secant

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