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Geometry Essentials Chapter 2 Proofs Study Guide 1. Statement M is the midpoint of AB ≅ Reason Given 2. Statement M is the midpoint of AM = MB Reason Given 3. Statement ≅ AB = XY Reason Given Statement AB = XY ≅ Reason Given Statement Reason 4. 5. AC = AB + BC 6. Statement AB = CD CD = EF AB = EF Reason Given 7. Statement AB = CD CD = AB Reason Given 8. Statement AB = AB Reason Statement ∠ ≅∠ Reason Statement ∠ ≅∠ ∠ ≅∠ Reason Given 9. 10. 11. Statement mB = mD mD = mF Reason Given m∠B = m∠F 12. Statement 1 ≅ 2 Reason Given m∠1 = m∠2 13. Statement m1 = m2 1 ≅ 2 Reason Given 14. Statement mABC + mCBD = mABD Reason Statement 1 and 2 are a linear pair Reason Given 15. ∠1 and ∠2 are supplementary 16. Statement 1 and 2 are supplementary Reason Given Statement m1 + m2 = 180° Reason Given m∠1 + m∠2 = 180° 17. ∠1 and ∠2 are supplementary 18. Statement 1 and 2 are complementary Reason Given Statement m 1 + m 2 = 90o Reason Given m∠1 + m∠2 = 90° 19. ∠1 and ∠2 are complementary 20. Statement A and B are supplementary B and C are supplementary Reason Given ∠ ≅ ∠C 21. Statement A and B are complementary B and C are complementary Reason Given ∠ ≅∠ 22. Statement A and B are vertical angles ∠ ≅∠ Reason Given 23. Statement Line m line n Reason Given ∠1 is a right angle 24. Statement X is a right angle Reason Given Statement Y and Z are right angles Reason Given m∠X = 90° 25. ∠ ≅∠