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3.7 Secants and Tangents

3.7 Secants and Tangents. Tangent: a line that shares only one point with a circle and is perpendicular to the radius or diameter at that point. Point of tangency: the point that a tangent shares with a circle

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3.7 Secants and Tangents

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  1. 3.7 Secants and Tangents

  2. Tangent: a line that shares only one point with a circle and is perpendicular to the radius or diameter at that point. • Point of tangency: the point that a tangent shares with a circle • A radius is perpendicular (makes a 90o angle) to the tangent at the point of tangency

  3. Segments • Two tangents • Tangents are equal • Tangent and Secant • Tangent2 = outer segment(whole secant) • Two Secants • Outer segment(whole secant) = outer segment(whole secant) • Two Chords • Segment1 x segment2 = segment1 x segment2

  4. Angles/Arcs • Two Tangents • Exterior = ½(arc far away – arc close to angle) • Tangent and Secant • Exterior = ½(arc far away – arc close to angle) • Two Secants • Exterior = ½(arc far away – arc close to angle) • Two Chords • Interior = ½(intercepted arc + intercepted arc)

  5. KL is a radius of circle K. Determine whether LM is tangent to circle K. Justify your answer.

  6. *Do this one on the very back page of the packet. Find x, if EW is a tangent to circle D.

  7. AC and BC are tangent to circle Z. Find the value of x.

  8. Find the perimeter of triangle SQR.

  9. Find x.

  10. Find x.

  11. Find x.

  12. Find the measure of arc BC.

  13. Find the measure of arc XYZ.

  14. * Do this one on the extra space under example 7. Find x.

  15. Find x.

  16. Find x.

  17. Find x.

  18. Find x.

  19. Find x.

  20. Find x.

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