# A First Look at Angles ## Instructions

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## The Questions YOU need to answer

1. What is the measure of angle <AOC when A=(15,20)?

2. What is the measure of angle <AOD when A=(15,20)?

3. What is the name of the relationship between <AOC and <AOD?

4. What are the co-ordinates of point O (test your answer by moving point A there)?

5. What co-ordinates for point A make <AOC a right angle?

6. What co-ordinates for point A make <AOC a straight angle?

7. What co-ordinates for point A make <AOC a 60° angle?

8. Change the co-ordinates for point A but keep the identical 60° angle. What are the new coords?

9. Keeping A at (10, 20). Where can you place point B so that ray OD bisects <AOB?

10. Where can you place A and B so that <AOC is complementary to <BOD?

11. Move A to (10, 20). Where can you place point B so that <AOC is a vertical angle to <BOD?

12. Can you find a "formula" or express a "recipe" to generate the co-ords of the vertical angle?

(Hint: Keep point B the same. Notice the horizontal and vertical change as it goes to O. Now you need to make the same changes to O to get to A. Check your work by making sure the angles match) 