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Identify the Property which supports each Conclusion

Identify the Property which supports each Conclusion. IF then . Symmetric Property of Congruence. Reflexive Property of Congruence. IF and then . Transitive Property of Congruence. If. and. then. Substitution Property of Equality. IF AB = CD Then

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Identify the Property which supports each Conclusion

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  1. Identify the Property which supports each Conclusion

  2. IF then

  3. Symmetric Property of Congruence

  4. Reflexive Property of Congruence

  5. IF and then

  6. Transitive Property of Congruence

  7. If and then

  8. Substitution Property of Equality

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

  10. Addition Property of Equality

  11. If AB + BC= CE and CE = CD + DE then AB + BC = CD + DE

  12. Transitive Property of Equality

  13. If AC = BD then BD = AC.

  14. Symmetric Property of Equality

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

  16. Distributive Property

  17. Reflexive Property of Equality

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

  19. Division Property of Equality

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

  21. Subtraction Property of Equality

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

  23. Multiplication Property of Equality

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

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

  26. The Segment Addition Postulate

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

  28. Angle Addition Postulate

  29. IF M is the Midpoint of then

  30. The Definitionof Midpoint

  31. IF bisects then

  32. The Definition of an Angle Bisector

  33. If AB = CD then

  34. The Definition of Congruence

  35. If then is a right angle.

  36. The Definition of Right Angle

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

  38. The Definition of Perpendicular lines.

  39. If Then

  40. The Definition of Congruence

  41. And now a few new ones...

  42. If and are right angles, then

  43. Theorem: All Right angles are congruent.

  44. 2 1 n m If and are congruent, then lines m and n are perpendicular.

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

  46. If and are complementary, and and are complementary, then

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

  48. 2 1 Then

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