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Linear Measurements

Linear Measurements. Section 1.3. Line Segment. Is a part of a line that consists of two points, called endpoints, and all the points between. Symbolized by:

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Linear Measurements

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  1. Linear Measurements Section 1.3

  2. Line Segment • Is a part of a line that consists of two points, called endpoints, and all the points between. • Symbolized by: • Distance: The distance between the points A and B written as AB is the absolute value of the difference of the coordinates of x1 and x2. Denoted: AB = |x2 – x1| Name of Points A B x1 x2 Coordinates

  3. Example 1 What is UV? What is TV? What is US? What is ST?

  4. Segment addition Postulate (on vocabulary sheet) • If B is between A and C, then AB + BC = AC. • If AB + BC = AC, Then B is between A and C. A B C

  5. Ex 2: Find AC

  6. Ex. 3 Find DE

  7. Example 4 99 miles Bismarck Dickenson Fargo 289 miles Find the distance from Bismarck to Fargo.

  8. Example 5: 380 miles 360 miles Lubbick Tulsa St. Louis What is the distance from Lubbick to St. Louis?

  9. 36 F G H Example 6 Use the diagram to Find GH Example 7 Find y, then find PQ and QR. 21 3y+1 Q P R 2y 21

  10. Example 8: Solve for x, then find UT and TS 5x - 3 7x U T S 45

  11. Congruent Segments (vocab.sheet) • Line segments that have the same length / measure. • Ex: A B D C A = B Equal A B Congruent

  12. Example 9: Find X and ST if S is between R and T • RS = 12, ST = 2x, RT = 34 • RS = 16, ST = 2x, RT = 5x + 10

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