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TANGENTS

TANGENTS. ARCS, CHORDS, & CENTRAL ANGLES. INSCRIBED ANGLES. INTERIOR & EXTERIOR ANGLES. LENGTHS OF SEGMENTS. FINAL GEOPARDY!. TANGENTS $100. If and AB = 8, then find length of AC to the nearest tenth. AC = 11.3. TANGENTS $200.

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TANGENTS

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  1. TANGENTS

  2. ARCS, CHORDS, & CENTRAL ANGLES

  3. INSCRIBED ANGLES

  4. INTERIOR & EXTERIOR ANGLES

  5. LENGTHS OF SEGMENTS

  6. FINAL GEOPARDY!

  7. TANGENTS $100 If and AB = 8, then find length of AC to the nearest tenth. AC = 11.3

  8. TANGENTS $200 Name a pair of triangles that are congruent and name all postulates that justify this conclusion. ΔAMT =ΔHMT by SSS, SAS, or HL

  9. TANGENTS $300 Given that Calculate the following angles: Each angle is 75°

  10. TANGENTS $400 Draw all possible common tangents of the two circles. Identify each tangent as common internal tangent or a common external tangent. Two common external tangents, one common internal tangent.

  11. TANGENTS $500 Given CD = 9 and DA = 8, find the length BC. BC = 15

  12. ARCS, CHORDS, & CENTRAL ANGLES $100 List the two important differences between a minor arc and a major arc. Minor arcs are less than 180° whereas major arcs are greater than 180°. Minor arcs are named with two points, major arcs are named with three points.

  13. ARCS, CHORDS, & CENTRAL ANGLES $200 Give the ratio of a central angle to the arc it creates. 1 : 1

  14. ARCS, CHORDS, & CENTRAL ANGLES $300 Find the measure of the indicated arc. minor arc AB = _______ major arc BAD = _______ minor arc AC = _______ semicircle ABD = _______ major arc CDA = _______ major arc CDB = _______ 50° 230° 130° 180° 230° 280°

  15. ARCS, CHORDS, & CENTRAL ANGLES $400 Given Find the length of XY to the nearest tenth. XY = 18.8

  16. ARCS, CHORDS, & CENTRAL ANGLES $500 Given Find the length of RT. RT = 30

  17. INSCRIBED ANGLES $100 Give the ratio of an inscribed angle to the arc it intercepts. 1 : 2

  18. INSCRIBED ANGLES $200 Find the values of x and y. x = 76°, y = 76°

  19. INSCRIBED ANGLES $300 Find the values of x and y. x = 95°, y = 70°

  20. INSCRIBED ANGLES $400 Find the values of x and y. x = 120°, y = 60°

  21. INSCRIBED ANGLES $500 Find the values of x and y. x = 70°, y = 70°

  22. INTERIOR & EXTERIOR ANGLES $100 Provide the general formulas used to calculate the measure of an interior angle and the measure of an exterior angle. Interior Angle = (arc + arc)/2 Exterior Angle = |arc – arc|/2

  23. INTERIOR & EXTERIOR ANGLES $200 Find the measure of angle 2 to the nearest tenth. Angle 2 =137.5 °

  24. INTERIOR & EXTERIOR ANGLES $300 Find the measure of angle 3. Angle 3 = 40°

  25. INTERIOR & EXTERIOR ANGLES $400 Find the measure of arc x. x = 130° or 10°

  26. INTERIOR & EXTERIOR ANGLES $500 Given that arc CT = 80º and , find the measure of arc BT. arc BT = 10° or 150°

  27. LENGTHS OF SEGMENTS $100 Find x. x = 4

  28. LENGTHS OF SEGMENTS $200 Find x. x = 4

  29. LENGTHS OF SEGMENTS $300 Find x. x = 4

  30. LENGTHS OF SEGMENTS $400 Find x. x = 4

  31. LENGTHS OF SEGMENTS $500 Find x. x = 6

  32. FINAL JEOPARDY!

  33. TYPES OF ANGLES IN CIRCLES

  34. FINAL JEOPARDY! Classify each numbered angle (#1-10) as central, inscribed, interior, or exterior.

  35. FINAL JEOPARDY! Angle 1 is a central angle. Angle 2 is an inscribed angle. Angle 3 is an inscribed angle. Angle 4 is an inscribed angle. Angle 5 is an interior angle. Angle 6 is an interior angle. Angle 7 is an exterior angle. Angle 8 is an interior angle. Angle 9 is an inscribed angle. Angle 10 is an inscribed angle.

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