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Circle Segment Lengths Theorem Explanation

Learn about the relationship between segment lengths in circles with secants and tangents, and how to calculate them using specific theorems. Practice problems included for better understanding.

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Circle Segment Lengths Theorem Explanation

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  1. 10.6: Find Segment Lengths in Circles 02/18/09

  2. Segments of Secants Theorem If two secant segments share the same endpoint outside a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. D B A E C

  3. Ex.1) Find the value of x. 6 9 5 x

  4. Segments of Secants and Tangents Theorem If a secant segment and a tangent segment share and endpoint outside a circle, then the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment. B A C D

  5. Ex.2) Find the value of x. 3 1 x

  6. turn to pg. in your workbooks.

  7. HW #28: p.693 (6 – 12, 14, 15, 17 – 19) & p. 686 (1 – 7) *10.4, 10.5 Quiz this Friday. *Bring textbook tomorrow.

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