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10.6 – Find Segment Lengths in Circles

10.6 – Find Segment Lengths in Circles . interior. If two chords intersect in the _______________ of a circle, then the ___________ of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. product. Segments of Chords Theorem.

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10.6 – Find Segment Lengths in Circles

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  1. 10.6 – Find Segment Lengths in Circles

  2. interior If two chords intersect in the _______________ of a circle, then the ___________ of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. product Segments of Chords Theorem

  3. If two secant segments share the same endpoint ____________ a circle, then the ______________ of the lengths of one secant segment and its external segment equals the _____________ of the lengths of the other secant segment and its external segment. outside product product Segments of Secants Theorem

  4. If a secant segment and a tangent segment share an endpoint ____________ a circle, then the product of the lengths of the secant segment and its external segment equals the ___________ of the length of the tangent segment. outside square Segments of Secants and Tangents Theorem

  5. Find the value of x. 3  x = 9  5 3x = 45 x = 15

  6. Find the value of x. 3x = 5(5+10) 3x = 75 x = 25

  7. Find the value of x. x2 = 2(2+16) x2 = 36 x = 6

  8. Find the value of x. 6  x = 8  3 6x = 24 x = 4

  9. Find the value of x. 2  x = 5  5 2x = 25 x = 12.5

  10. Find the value of x. 5(x + 5) = 6(6+4) 5x + 25 = 60 5x = 35 x = 7

  11. Find the value of x. x2 = 3(3+24) x2 = 81 x = 9

  12. Find the value of x. 2x 3x = 3  18 6x2 = 54 x2 = 9 x = 3

  13. Find the value of x. 312 = 20(x + 20) 961 = 20x + 400 561 = 20x 28.05 = x

  14. You Try • p692 3-11, 13, 14, 17, 20, 21

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