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Parts of Circles

Parts of Circles. Chord. A segment whose endpoints lie on the circle and does not go through the center of the circle. Y. Chord: XY. X. Secant. A line that intersects a circle at two points. Y. Secant: XZ. X. Z. Tangent. A line that intersects a circle at exactly one point. m. Y.

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Parts of Circles

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  1. PartsofCircles

  2. Chord A segment whose endpoints lie on the circle and does not go through the center of the circle. Y Chord: XY X

  3. Secant A line that intersects a circle at two points. Y Secant: XZ X Z

  4. Tangent A line that intersects a circle at exactly one point. m Y Tangent: line m Point of Tangency: X X Z

  5. TANGENT LINESarePERPENDICULARto a circle’sRADIUS

  6. QR and ST ST PQ, PT, and PS ST UV Identify each line or segment that intersects P. chords: secant: tangent: diameter: radii:

  7. Congruent Circles Circles are congruent if and only if they have congruent radii. 7 7

  8. Concentric Circles Circles with the same center.

  9. Tangent Circles Two circles that intersect at exactly one point

  10. TANGENT LINESarePERPENDICULARto a circle’sRADIUS

  11. TANGENT LINESarePERPENDICULARto a circle’sRADIUS

  12. A common tangent is a line that is tangent to two circles.

  13. A common tangent is a line that is tangent to two circles.

  14. Tangent Lines If a circle has two tangent segments that intersect at the same point, then those segments are congruent. A C AC = BC B

  15. HK and HG are tangent to F. Find HG.

  16. TANGENT LINESarePERPENDICULARto a circle’sRADIUS

  17. RS and RT are tangent to Q. Find RS.

  18. TANGENT LINESarePERPENDICULARto a circle’sRADIUS

  19. HOMEWORK pg. 751 (1-3, 9-10, 18-25)

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