1. Angle Relationships

2. Objectives You will learn new geometry vocabulary.
You will understand the relationships between angles.
You will be able to give real world examples of specific angles.

3. Adjacent Angle

4. Can you find the adjacent angles?

5. Adjacent angles are NOT

6. Have the same vertex Share a common side Do not overlap
Adjacent Angles
Have the same vertex
Share a common side
Do not overlap

7. Vertical Angles Angles 2 and 4 are vertical and CONGRUENT!

8. Can you find the vertical angles?

9. Vertical angles are NOT

10. Formed by intersecting lines
Vertical Angles
Opposite angles
Formed by intersecting lines

11. Congruent Angles

12. Can you find the congruent angles?

13. Congruent angles are NOT

14. Congruent Angles
Have the same measure
Equal

15. Supplementary Angles

16. Can you find the supplementary angle?

17. Supplementary angles are NOT

18. Supplementary Angles
Sum is 180°
Formed when a line is intersected

19. Complementary angles

20. Can you find the complementary angles?

21. Complementary angles are NOT

22. Formed when a right angle is intersected
Complementary Angles
Sum is 90°
Formed when a right angle is intersected

23. Transversal

24. Can you find the transversals?

25. Transversals are NOT

26. Transversal
Line that intersects two or more other lines

27. Corresponding Angles

28. Corresponding angles are NOT
On the same line
Opposite each other

29. Corresponding Angles
In the same position on the two lines in relation to the transversal and congruent

30. Alternate Interior Angles
Angles 3 and 6 and 4 and 5 are alternate interior angles.

31. Alternate interior angles are NOT
On the same line
On the same side of the line
Outside the transversal

32. Alternate Interior Angles
Opposite sides of the transversal and inside the outer two lines and congruent

33. Alternate Exterior Angles
Angles 1 and 8 and 2 and 7 are alternate exterior angles.

34. Alternate exterior angles are NOT
On the same line
On the same side of the line
Inside the transversal

35. Alternate Exterior Angles
Opposite sides of the transversal and outside the outer two lines and congruent

36. References
Pictures obtained through Google image search