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Name that Reason

Name that Reason. 1. ∠1 and ∠2 are supp ∠1 + ∠2 = 180. Definition of supplementary. 2. ∠1 = ∠2 ∠1 ≅ ∠2. Definition of ≅. 3. AB = CD AB ≅ CD. Definition of ≅. 4. ∠1 and ∠2 are comp. ∠1 + ∠2 = 90. Definition of complementary. 5. ∠ABC is a right ∠ ∠ABC = 90 º. Definition of

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Name that Reason

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  1. Namethat Reason

  2. 1.∠1 and ∠2 are supp ∠1 + ∠2 = 180

  3. Definition of supplementary

  4. 2.∠1 = ∠2 ∠1 ≅ ∠2

  5. Definition of ≅

  6. 3.AB = CDAB ≅ CD

  7. Definition of ≅

  8. 4.∠1 and ∠2 are comp. ∠1 + ∠2 = 90

  9. Definition of complementary

  10. 5. ∠ABC is a right ∠ ∠ABC = 90º

  11. Definition of right angle.

  12. 6.AB + BC = ACAC = AB + BC

  13. Symmetric

  14. 7.XY + YZ = XZ

  15. Segment Addition

  16. 8.MN = MN

  17. Reflexive

  18. 9.DE = GHIJ = KLDE + IJ = GH + KL

  19. Addition

  20. 10.B is midpt of XZXB = BZ

  21. MidPt Theorem

  22. 11.∠1 + ∠2 = ∠ABC

  23. ∠ Add

  24. 12. ∠1 is right ∠ ∠2 is right ∠ ∠1 = ∠2

  25. All right ∠are =

  26. 13.∠1 & ∠2 are supp ∠1 & ∠3 are supp ∠2 = ∠3

  27. ∠ supp to same ∠ are ≅

  28. 14.∠ 1 ≅ ∠ 2 1 2

  29. Vertical ∠ are ≃

  30. 15.∠ 1 & ∠ 3 are linear ∠ 1 & ∠ 3 are supp

  31. Linear pairs of angles are supplementary

  32. 16.∠ 1 = ∠4 ∠ 1 + ∠ 2 = ∠ 3 + ∠4 ∠ 1 + ∠ 2 = ∠ 3 + ∠1

  33. Substitution

  34. 17.∠ 1 + ∠ 2 = 180 ∠ 3 + ∠ 4 = 180 ∠ 1 + ∠ 2 = ∠ 3 + ∠ 4

  35. Substitution

  36. 18.∠ 1 + ∠ 2 = ∠ 2 + ∠ 3 ∠ 1 = ∠ 3

  37. Subtraction

  38. 19.∠ 1 & ∠ 2 are comp ∠ 1 & ∠ 3 are comp ∠ 2 = ∠ 3

  39. ∠ comp to the same ∠ are ≅

  40. 20.∠ 1 = ∠ 2 ∠ 3 = ∠ 4 ∠ 1 + ∠ 3 = ∠ 2 + ∠ 4

  41. Addition

  42. Final Jeopardy

  43. Name that Reason

  44. AB ⊥ XY at M∠AMX is right ∠ ∠XMB is right ∠ ∠BMY is right ∠ ∠YMA is right ∠

  45. Perpendicular lines form right angles.

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