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Given: AC = BD Prove: AB = CD

Given: AC = BD Prove: AB = CD. A. B. C. D. Statement Reason AC = BD given. Given: AC = BD Prove: AB = CD. A. B. C. D. Statement Reason AC = BD given AC = AB + BC segment addition postulate. Given: AC = BD Prove: AB = CD. A. B. C. D. Statement Reason AC = BD given

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Given: AC = BD Prove: AB = CD

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  1. Given: AC = BD Prove: AB = CD A B C D Statement Reason AC = BD given

  2. Given: AC = BD Prove: AB = CD A B C D Statement Reason AC = BD given AC = AB + BC segment addition postulate

  3. Given: AC = BD Prove: AB = CD A B C D Statement Reason AC = BD given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate

  4. Given: AC = BD Prove: AB = CD A B C D Statement Reason AC = BD given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate AB + BC = BC + CD substitution

  5. Given: AC = BD Prove: AB = CD A B C D Statement Reason AC = BD given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate AB + BC = BC + CD substitution AB = CD subtraction property

  6. Given: AC = BD AB = 6 Prove: CD = 6 A B C D Statement Reason AC = BD given AB = 6 given

  7. Given: AC = BD AB = 6 Prove: CD = 6 A B C D Statement Reason AC = BD given AB = 6 given AC = AB + BC segment addition postulate

  8. Given: AC = BD AB = 6 Prove: CD = 6 A B C D Statement Reason AC = BD given AB = 6 given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate

  9. Given: AC = BD AB = 6 Prove: CD = 6 A B C D Statement Reason AC = BD given AB = 6 given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate AB + BC = BC + CD substitution

  10. Given: AC = BD AB = 6 Prove: CD = 6 A B C D Statement Reason AC = BD given AB = 6 given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate AB + BC = BC + CD substitution AB = CD subtraction property

  11. Given: AC = BD AB = 6 Prove: CD = 6 A B C D Statement Reason AC = BD given AB = 6 given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate AB + BC = BC + CD substitution AB = CD subtraction property 6 = CD substitution

  12. Given: AC = BD AB = 6 Prove: CD = 6 A B C D Statement Reason AC = BD given AB = 6 given AC = AB + BC segment addition postulate BD = BC + CD segment addition postulate AB + BC = BC + CD substitution AB = CD subtraction property 6 = CD substitution CD = 6 symmetric property

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