1. Identify the Property which supports each Conclusion

2. IF then

3. Symmetric Property of Congruence

5. Reflexive Property of Congruence

6. IF and then

7. Transitive Property of Congruence

8. If and then

9. Substitution Property of Equality

10. IF AB = CD Then AB + BC = BC + CD

11. Addition Property of Equality

12. If AB + BC= CE andCE = CD + DE then AB + BC = CD + DE

13. Transitive Property of Equality

14. If AC = BD then BD = AC.

15. Symmetric Property of Equality

16. If AB + AB = AC then 2AB = AC.

17. Distributive Property

19. Reflexive Property of Equality

20. If 2(AM)= 14 then AM=7

21. Division Property of Equality

22. If AB + BC = BC + CD then AB = CD.

23. Subtraction Property of Equality

24. If AB = 4 then 2(AB) = 8

25. Multiplication Property of Equality

26. Let’s see if you remember a few oldies but goodies...

27. If B is a point between A and C, then AB + BC = AC

28. The Segment Addition Postulate

29. If Y is a point in the interior of then

30. Angle Addition Postulate

31. IF M is the Midpoint of then

32. The Definition of Midpoint

33. IF bisects then

34. The Definition of an Angle Bisector

35. If AB = CD then

36. The Definition of Congruence

37. If then is a right angle.

38. The Definition of Right Angle

39. 1 If is a right angle, then the lines are perpendicular.

40. The Definition of Perpendicular lines.

41. If Then

42. The Definition of Congruence

43. And now a few new ones...

44. If and are right angles, then

45. Theorem: All Right angles are congruent.

46. 1 2 If and are congruent, then lines m and n are perpendicular. n m

47. Theorem: If 2 lines intersect to form congruent adjacent angles, then the lines are perpendicular.

48. If and are complementary, and and are complementary, then

49. Theorem: If 2 angles are complementary to the same angle, they are congruent to each other.

50. 1 2 Then

51. The Linear Pair Postulate (The angles in a linear pair are supplementary.)

52. 1 2 Then

53. Theorem: Vertical Angles are congruent.

56. The End