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Aim:

1) Solve the linear system for x and y. a) x. A. B. C. D. b) AB, BC, CD. What are the Substitution and Partition Postulates?. Do Now:. Aim:. Ex:. W. C. M. Q. Or,. Partition Postulate. Ex:. D. 1. E. C. 2. 3. B. Partition Postulate. A. Partition Postulate:.

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Aim:

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  1. 1) Solve the linear system for x and y. a) x A B C D b) AB, BC, CD What are the Substitution and Partition Postulates? Do Now: Aim: Geometry Lesson: Partition and Substitution Postulates

  2. Ex: W C M Q Or, Partition Postulate Ex: D 1 E C 2 3 B Partition Postulate A Partition Postulate: “A whole is equal to the sum of its parts.” Partition Postulate Partition Postulate Geometry Lesson: Partition and Substitution Postulates

  3. Ex: Given A B K M Ex: L E Given 1 D 2 F C 3 4 B A Substitution Postulate: “A quantity may be substituted for its equal in any expression.” Partition Post. Substitution Post. Partition Post. Partition Post. Substitution Post. Geometry Lesson: Partition and Substitution Postulates

  4. B Given: Prove: D E C A Example 1: Given Partition Postulate Substitution Postulate Geometry Lesson: Partition and Substitution Postulates

  5. A B C D E Given: Example 2: Prove: Given Def. congruent angles Partition Postulate Substitution Postulate Geometry Lesson: Partition and Substitution Postulates

  6. A E Given: D H Prove: F B C G Example 3: Given Def. Rt. angle Given Partition Post. Partition Post. Subst. Post. Subst. Post. Subst. Post. Geometry Lesson: Partition and Substitution Postulates Def. Rt. angle

  7. C 4) Given: Prove: B A D 5) Given: c b a Prove: Example 4, 5: Geometry Lesson: Partition and Substitution Postulates

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