1. Points, Lines, and Angles
Chapter 2
Points, Lines, and Angles

2. Goal
Tell type of angle.
Label angles.
Measure angles.

3. Review

4. A? B? C?
a ) ray
b) line segment
c) line

5. Check
a ) ray
b) line segment
c) line

7. Review all

8. angle
a figure
formed by the intersection
of two rays

9. angle Rays are called sides.
Point where sides intersect is called a vertex.

10. angle
examples
non-examples

11. Naming angles
Method 1
angle x
angle y
Method 2
angle ABC
angle CBA

12. Unit of measurement is degrees

13. List everything you can tell about this angle.

14. -Angle – 2 rays that intersect
-Sides – rays
- Point where rays intersect – vertex
- Angle ABC or CBA
-Measured in degrees
- 60 degrees

15. Types of Angles

16. Right Angle
Right angle
an angle
whose measure
is 90 degrees

17. right angles
orientation – direction
still right angle

18. right angles
not right angles

19. Acute angle
acute angle
an angle
whose measure
is less than 90 degrees

21. acute angles
not acute angles

22. obtuse angle obtuse angle an angle whose measure is
greater than 90 degrees but
less than 180 degrees

23. Why are these obtuse angles?
examples of obtuse
Obtuse angle

24. Obtuse Angles
Not Obtuse

25. What type of angle? Why?
Check again

26. Why type of angle? A? B? C? D? E? F?
acute
right angle
obtuse

27. acute
right angle
obtuse

28. straight angle
straight angle
an angle
whose measure is
180 degrees

29. straight angles
not straight angles

30. Page 28 number 1 - 10 measure of angle ARF 180 degrees straight angle
measure of angle CRF
120 degrees
obtuse
3. measure of angle BRF
155 degrees obtuse

31. adjacent angles adjacent angle two angles have same vertex
share one ray

32. List adjacent angles
Adjacent angles

33. List adjacent angles
Adjacent angles

34. adjacent angles
not adjacent angles

35. Page 29 1.Angle CDB is adjacent to angle _____
2. Angle TUV is adjacent to angle ____
3. Angle SRP is adjacent to angle ____

36. vertical angles Vertical angles When two lines intersect
two pairs of vertical angles are formed

37. vertical angles Vertical angles are NOT adjacent.
Vertical angles have the same measure.

38. Which angles are vertical?

39. Which angles are adjacent?

40. Page 30 Vertical angles 1. angle YPV and angle ____
angle YPV and angle RPS
angle QPR and angle _____
angle QPR and angle VPT

41. complementary angles
two angles
sum of measures
is 90 degrees

42. a and b angles are complementary even when not connected
complementary = sum of angles equals 90 degrees

43. complementary angles
What angles are complementary?
Why?

44. complementary angles
Are these angles complementary?
Why or Why not?

45. complementary angles
not complementary angles

46. Supplementary angles
two angles
sum of measures
is 180 degrees

47. Supplementary angles
two angles
sum of measures
is 180 degrees

48. Why are figure 1 and figure 2 both examples of supplementary angles?
Review
1 obtuse angle
2 acute angle
1 and 2 supplementary

49. supplementary angles
not supplementary angles

50. Review of Angles

51. Page 31