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7.6

7.6. What’s The Relationship? Pg. 21 Tangents and Chords. 7.6 – What’s The Relationship? Tangents and Chords.

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7.6

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  1. 7.6 What’s The Relationship? Pg. 21 Tangents and Chords

  2. 7.6 – What’s The Relationship? Tangents and Chords So far, you have studied about the relationships that exist between angles and chords (line segments) in a circle. Today you will extend these ideas to include the study of lines and circles.

  3. A line that intersects a circle in exactly one point. P Q R

  4. The point where a tangent line touches a circle P Q S R S

  5. Q A line that intersects a circle in two points. P R

  6. Q A A segment with both endpoints on the circle P

  7. A line that is tangent inside two circles.

  8. A line that is tangent outside two circles.

  9. tangent In a plane, a line is ______________ to a circle if and only if the line is ____________________ to a radius of the circle and its endpoint on the circle. perpendicular

  10. Tangent segments from a common ____________ point are ___________________. external congruent C A B

  11. 7.30 – VOCABULARY State the best term for the given figure. C center

  12. Common internal tangent

  13. radius

  14. chord

  15. Point of Tangency

  16. diameter

  17. secant

  18. Common External Tangent

  19. 7.31 – TANGENT ANGLES

  20. Half the arc 180° 180° 90° 90°

  21. Supplementary, add to 180°

  22. Add to 360°

  23. 2x° 2x° x°

  24. 2y° 2y° y°

  25. tangent chord If a __________ and a ________ intersect at a point _____ a circle, then the measure of each angle formed is _______ the measure of its intercepted arc. on half Arc 2 Tangent angle =

  26. c z y z x y 7.32 – TANGENT ANGLES Find the value of the missing variables.

  27. 84° 168° 192°

  28. 120° 120° 60° 60° 60°

  29. 248° 124° 56°

  30. 90° 180°

  31. 29° 90° 180°

  32. 29° 90° 180° 61° 122°

  33. 29° 61° 90° 180° 61° 122°

  34. 7.33 – TANGENT SEGMENTS The points K and M are points of tangency. Find the value of x.

  35. 7.34 – TANGENT SEGMENTS Find the value of x if point B is the point of tangency.

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