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Week 1. Warm Up. 08.17.11. 1) │4 – 7│. 2) │4.3 – 1.2│. 4 2 + 5 2. 3). 10) False. 28) D. Homework. 49). 12) True. 30) H. 14) True. 32) E. 16) True. 34) G or none. 18) N. 36) PQRS. 20) F. 38) KLRS. 22) F. 40) KLMN. 24) M .
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Week 1 Warm Up 08.17.11 1) │4 – 7│ 2) │4.3 – 1.2│ 42 + 52 3)
10) False 28) D Homework 49) 12) True 30) H 14) True 32) E 16) True 34) G or none 18) N 36) PQRS 20) F 38) KLRS 22) F 40) KLMN 24) M 42) LMQR 26) ie: RST
Postulate Rules that do not have to be proved ( axiom ) Postulate 1 Ruler Postulate • A Points on a line can be matched to their real numbers. • B Names Ex 1 x1 x2 Coordinates
4 11 The absolute value of the difference between A and B Distance ( Length ) • A Length of AB is │x2 – x1│ • B │11 – 4 │ 7
Ex 2 │2 – 6.5 │ • C • D │ - 4.5 │ 4.5
P 2 Segment Addition Postulate. If B is between A and C, then AB +BC= AC If AB +BC= AC, then B is between A and C • C AC • A • B AB BC
17 Ex 3 • C 5 AB • A Find AB AB + 5 = 17 • B AB = 17 - 5 AB = 12
Do 1 What is the distance between Kingman and Phoenix? • • • A M B Kingman Phoenix Tucson AB = 430 miles MB = 141 miles
Ex 4 Find x, LM, MN, LN 23 • N 3x + 8 2x - 5 • L Find x 3x + 8 + 2x - 5 = 23 • M 5x + 3 = 23 5x = 23 - 3 5x = 20 x = 4
x = 4 23 • N 3x + 8 2x - 5 • L Find LM 3x + 8 • M 3( 4 ) + 8 12 + 8 20
Review What is absolute value? • N 23 Do 2 Find MN • L 3x + 8 2x - 5 • M Textbook page 21, 19 – 33 all. Assignment