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Geometry 6

Geometry 6. Level 1. Parts of a circle. Why is this triangle isosceles?. Two sides are radii. Find the value of x. 35. x. Find the value of x. x. 60. Find the value of x. x. Find the value of x. x. 20. Reminder: Exterior angle equals the sum of the opposite interior angles.

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Geometry 6

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  1. Geometry 6 Level 1

  2. Parts of a circle

  3. Why is this triangle isosceles?

  4. Two sides are radii

  5. Find the value of x 35 x

  6. Find the value of x x 60

  7. Find the value of x x

  8. Find the value of x x 20

  9. Reminder: Exterior angle equals the sum of the opposite interior angles.

  10. Find the value of x. x 70 50

  11. Let’s investigate

  12. We now have two isosceles triangles

  13. In each case their base angles are equal.

  14. The exterior angle is twice the opposite internal angle

  15. The exterior angle is twice the opposite internal angle

  16. The angle at the centre is twice the angle at the circumference

  17.  at centre 2x x

  18. Find the value of x 50 x

  19. Find the value of x 160 x

  20. Find the value of x x 90

  21. Find the value of x 60 x

  22. Another way of looking at this. 2x x

  23. Find the value of x. 240 x

  24. Find the value of x. 110 x

  25. Find the value of x. 135 x

  26. Notice if AC is a diameter x 2x x

  27. Find the value of x. x 55

  28. Find the value of x. 80 x

  29. Find the value of x. x 140

  30. Find the value of x. 50 x

  31. Find the value of x. x 62 74

  32. Find the value of x. 62 74 x

  33. Find the value of x 75 x

  34. Find the value of y 75 75 y

  35. Find the value of z 75 75 75 z

  36. Angles on the same arc are the same.

  37. Angles on the same arc are the same.

  38. Angles same arc

  39. Why is it important?

  40. Find A, B and C

  41. If BC is a diameter… x 2x x

  42. If BC is a diameter… x 2y 2x x y y

  43. If BC is a diameter… x 2y 2x x y y

  44. If BC is a diameter… x 2y 2x x y y

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