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2. GR + RE = GE

3. Segment Addition Postulate

4. If R is the midpoint of GE, then RE = ½ GE. __

5. Midpoint Theorem

6. If RA RD, then ARD is a right angle.

7. Def. of Perpendicular Lines

8. If GRC is supplementary to ARC, and DRF is supplementary to ARC, then GRC DRF.

9. Congruent Supplements Theorem

10. GRB ERF

11. Vertical Angles Are Congruent.

12. If RC bisects BRD, then m BRC = ½ m BRD.

13. Angle Bisector Theorem

14. m GRA + m ARC = m GRC.

15. Angle Addition Postulate

16. If BF GE, then GRB BRE.

17. If two lines are perpendicular, then they form congruent adjacent angles.

18. If m ERD + m CRA = 90, then those angles are complementary.

19. Definition of Complementary Angles

20. If BR RF, then R is the midpoint of BF. __

21. Definition of Midpoint

22. If RB RE, then BRC is complementary to CRE.

23. If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.

24. If GRA is supplementary to FRD, then m GRA + m FRD = 180.

25. Definition of Supplementary Angles

26. If R is the midpoint of GE, then FB bisects GE. __

27. Definition of Segment Bisector

28. If BRE ERF, then EG FB.

29. If two lines form congruent adjacent angles, then the lines are perpendicular.

30. m ARB + m BRC = m ARC

31. Angle Addition Postulate

32. If BR RF, then R is the midpoint of BF. __

33. Definition of Midpoint

34. If m ARD = 90, then ARD is a right angle.

35. Definition of Right Angle

36. If ARD is a right angle, then RA RD.

37. Definition of Perpendicular Lines

38. If FB GE, then BRE ERF.

39. If two lines are perpendicular, then they form congruent adjacent angles.

40. If ARB is complementary to BRD, and DRE is complementary to BRD, then ARB DRE.

41. Congruent Complements Theorem

42. If RC bisects BRD, then BRC CRD.

43. Definition of Angle Bisector

44. m GRC + m CRE = 180

45. Linear Pair Postulate

46. If BRG BRE, then BR GE.

47. If two lines form congruent adjacent angles, then the lines are perpendicular.

48. FR + RB = FB

49. Segment Addition Postulate

50. If RB RE, then BRD and DRE are complementary.

51. If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.