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7.5

7.5. What’s The Relationship? Pg. 18 Inscribed and Central Angles. 7.5 – What’s The Relationship? Inscribed and Central Angles. In order to learn more about circles, we need to investigate the different types of angles and chords that are found in circles. . A.

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7.5

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  1. 7.5 What’s The Relationship? Pg. 18 Inscribed and Central Angles

  2. 7.5 – What’s The Relationship? Inscribed and Central Angles In order to learn more about circles, we need to investigate the different types of angles and chords that are found in circles.

  3. A An angle whose vertex is the center of the circle C P

  4. 73° 73 73°

  5. 73° 107 73° 26°

  6. 73° 154 73° 26° 81°

  7. 73° 206 73° 26° 81°

  8. 73° 81 73° 26° 81°

  9. 73° 180 73° 26° 81°

  10. 73° 180 73° 26° 81°

  11. 73° 287 73° 26° 81°

  12. Inscribed angle: An angle whose vertex is ON a circle Half the intercepted arc

  13. Intercepted Arc: An arc that is inside an inscribed angle Double the inscribed angle

  14. Half of

  15. Inscribed angle is half the arc

  16. 62 + 82 = x2 6 36 + 64 = x2 100 = x2 10 10 = x 8 r = 5

  17. The measures of an inscribed angle is ________ the measure of its ______________ arc. half intercepted 2x° AB 2 D = x°

  18. If two inscribed angles of a circle _____________ the same arc, then the angles are _____________. intercept congruent

  19. right A ________ triangle is inscribed in a circle iff the _______________ is a diameter of the circle. hypotenuse

  20. 7.29 – PRACTICE In the previous problem, you found that the measure of an inscribed angle is always half of the measure of its corresponding central angle. Use this new information to answer the questions below.

  21. 59°

  22. 82°

  23. 56° 28°

  24. 114° 57°

  25. 156° 180°

  26. 40° 20°

  27. 130° 130°

  28. 160° 80° 200°

  29. 183° 73° 106° 91.5° 212°

  30. 42° 42° 74°

  31. 90° 45° 45°

  32. 118° 130° 59°

  33. 2x° x° x° x° Central angle Inscribed angle

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