1Geometry Lesson: Addition/Subtraction Postulates Aim: Do Now: 1) Solve the system for x and y: Ans: (3,1) 2) Solve the system for x and y: Ans: (2,3)

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Presentation transcript:

1Geometry Lesson: Addition/Subtraction Postulates Aim: Do Now: 1) Solve the system for x and y: Ans: (3,1) 2) Solve the system for x and y: Ans: (2,3) What are the Addition and Subtraction postulates?

2Geometry Lesson: Addition/Subtraction Postulates Addition Postulate: 2 cm 7 cm AB CD E F G H If equal quantities are added to equal quantities, the sums are equal.

3Geometry Lesson: Addition/Subtraction Postulates Subtraction Postulate: 2 cm 7 cm AB CD E F G H If equal quantities are subtracted from equal quantities, the differences are equal.

4Geometry Lesson: Addition/Subtraction Postulates Ex 1: Given: Prove: A DEF CB StatementsReasons 1) 2) 3) 4) 5) 6) Given Addition Postulate Partition Postulate Substitution Postulate

5Geometry Lesson: Addition/Subtraction Postulates Ex 2: StatementsReasons 1) 2) 3) 4) 5) 6) Given Partition Postulate Substitution Postulate Subtraction Postulate (5,2) Given: Prove: DACE B 1342 Partition Postulate

6Geometry Lesson: Addition/Subtraction Postulates Ex 3, 4: CB A D E 3) Given: Prove: Example 3: 4) Given: Prove: A B C D M N

7Geometry Lesson: Addition/Subtraction Postulates Ex 5: 5) Given: Prove: D C O B A x a b y