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Geometry Postulates and Distance Calculations for Homework Assignment

Learn and practice fundamental postulates in geometry, including Ruler Postulate and Segment Addition Postulate. Calculate distances and coordinates using absolute values. Solve problems to find segment lengths and distances between points. Review and complete textbook assignments.

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Geometry Postulates and Distance Calculations for Homework Assignment

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  1. Week 1 Warm Up 08.17.11 1) │4 – 7│ 2) │4.3 – 1.2│ 42 + 52 3)

  2. 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

  3. 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. 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

  5. Ex 2 │2 – 6.5 │ • C • D │ - 4.5 │ 4.5

  6. 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

  7. 17 Ex 3 • C 5 AB • A Find AB AB + 5 = 17 • B AB = 17 - 5 AB = 12

  8. Do 1 What is the distance between Kingman and Phoenix? • • • A M B Kingman Phoenix Tucson AB = 430 miles MB = 141 miles

  9. 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

  10. x = 4 23 • N 3x + 8 2x - 5 • L Find LM 3x + 8 • M 3( 4 ) + 8 12 + 8 20

  11. Review What is absolute value? • N 23 Do 2 Find MN • L 3x + 8 2x - 5 • M Textbook page 21, 19 – 33 all. Assignment

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