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7.8

7.8. What More Can I Learn About Circles? Pg. 26 Chords and Angles. 7.8 – What More Can I Learn About Circles? Chords and Angles. As you investigate more about the parts of a circle, look for connections you can make to other shapes and relationships you have studied so far.

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7.8

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  1. 7.8 What More Can I Learn About Circles? Pg. 26 Chords and Angles

  2. 7.8 – What More Can I Learn About Circles? Chords and Angles As you investigate more about the parts of a circle, look for connections you can make to other shapes and relationships you have studied so far.

  3. 7.40 – SIMILAR TRIANGLES

  4. Similar 8 4 6 x = 8 4 8x = 24 x 6 x = 3

  5. 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. inside product ab = cd

  6. 7.41 – EXTRA PRACTICE Use the relationships in the diagrams below to solve for the variable.

  7. 3x = 45 x = 15

  8. 4x = 48 x = 12

  9. 2x = 25 5 x = 12.5

  10. 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 c(c + d) a(a + b) =

  11. 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 a(a + b) x2 =

  12. 7.42 – EXTRA PRACTICE Use the relationships in the diagrams below to solve for the variable.

  13. 3x= 5(15) 3x = 75 x = 25

  14. 5(x + 5) = 6(10) 5x + 25 = 60 5x = 35 x = 7

  15. x2= 2(18) x2 = 36 x = 6

  16. 312= 20(x+ 20) 961 = 20x + 400 561 = 20x 28.05 = x

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