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Chapter 10 : Circles

Chapter 10 : Circles. 10.6.1 Find Segment Lengths in Circles. Segments of Chords Theorem. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. A.

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Chapter 10 : Circles

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  1. Chapter 10: Circles 10.6.1 Find Segment Lengths in Circles

  2. Segments of Chords Theorem • If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord A EA * ED = EC* EB E C B D

  3. Solve for x x + 2 x + 4 x x + 1

  4. Segments of Secants and Tangents Theorem Segments of Secants Theorem • If two secants share the same endpoint outside a circle then the product of the secant segments of one equals the product of the secant segments of the other • If a secant and a tangent share the same endpoint outside a circle then the product of the secant segments of one equals the square of the tangent AB*AC = AD*AE AB*AC = AD 2 = AD*AD A B A B C C D D E

  5. Solve for x 3 Add to make -1 and multiply to make -30 factors of 30: 1, 30 2, 15 3, 10 5, 6 13 x - 3 x + 5

  6. Homework • p. 692 • 1 – 5, 7, 8, 10, 11, 13 – 27odd, 30, 32, 36, 39, 42

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