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Understanding Segment Lengths of Tangents, Secants, and Chords in Circles

This educational guide focuses on finding the lengths of segments formed by tangents, secants, and chords in circles. It includes examples such as determining the value of x in various problems related to segment lengths and applying important theorems, such as Theorem 10.15. You'll learn how to solve equations using multiplication, division, and the distributive property to find unknown segment lengths. Additionally, angles formed by tangents and chords are explored, providing a comprehensive understanding of circle geometry.

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Understanding Segment Lengths of Tangents, Secants, and Chords in Circles

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  1. Find the lengths of segments of tangents and secants. Find the lengths of segments of chords. Chapter 10Circles Section 10.5 Segment Lengths in Circles

  2. Find the lengths of segments of chords.

  3. Find the lengths of segments of chords. Example 7-1a Find x. Theorem 10.15 Multiply. Divide each side by 8. Answer: 13.5

  4. Find the lengths of segments of chords. Example 7-1c Find x. Answer: 12.5

  5. Find the lengths of segments of tangents and secants.

  6. Find the lengths of segments of tangents and secants. Find x if EF10, EH8, and FG24. Example 7-3a

  7. Find the lengths of segments of tangents and secants. Example 7-3b Secant Segment Products Substitution Distributive Property Subtract 64 from each side. Divide each side by 8. Answer: 34.5

  8. Find the lengths of segments of tangents and secants. Find xif and Example 7-3c Answer: 26

  9. Find the lengths of segments of tangents and secants.

  10. Find the lengths of segments of tangents and secants. Example 7-4c Find x. Assume that segments that appear to be tangent are tangent. Answer: 30

  11. Use angles formed by tangents and chords

  12. Use angles formed by tangents and chords

  13. Use angles formed by tangents and chords

  14. Use angles formed by tangents and chords

  15. Use angles formed by lines that intersect a circle

  16. Use angles formed by lines that intersect a circle

  17. Use angles formed by lines that intersect a circle

  18. Use angles formed by lines that intersect a circle

  19. Use angles formed by lines that intersect a circle

  20. Use angles formed by lines that intersect a circle

  21. Use angles formed by lines that intersect a circle

  22. Use angles formed by lines that intersect a circle

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