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10.6 Segment Lengths in Circles

10.6 Segment Lengths in Circles. 5/11/10. Finding the Lengths of Chords. When two chords intersect in the interior of a circle, each chord is divided into two segments which are called segments of a chord . . Theorem 10.14. EA • EB = EC • ED.

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10.6 Segment Lengths in Circles

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  1. 10.6 Segment Lengths in Circles 5/11/10

  2. Finding the Lengths of Chords • When two chords intersect in the interior of a circle, each chord is divided into two segments which are called segments of a chord.

  3. Theorem 10.14 EA • EB = EC • ED

  4. Chords ST and PQ intersect inside the circle. Find the value of x. Ex. 1: Finding Segment Lengths

  5. In the figure shown, PS is called a tangent segment because it is tangent to the circle at an end point. Tangents and Secants

  6. Theorem 10.15 EA• EB = EC • ED

  7. Theorem 10.16 (EA)2 = EC • ED

  8. Find the value of x. Ex. 2: Finding Segment Lengths

  9. Example 3Find the value of x.

  10. Example 4Find the value of x.

  11. Example 5Find the value of x.

  12. Assignment • Worksheet! • Review Tomorrow! • Test Thursday! • EOC Geometry Field Test Friday! • Meet in New Gym 1st Period Friday! Only 16 Days Left!!!!

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