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EXAMPLE 1

Measure the length of ST to the nearest tenth of a centimeter. Align one mark of a metric ruler with S . Then estimate the coordinate of T . For example, if you align S with 2 , T appears to align with 5.4 . ST = 5.4 – 2 = 3.4. The length of ST is about 3.4 centimeters. ANSWER.

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EXAMPLE 1

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  1. Measure the length of STto the nearest tenth of a centimeter. Align one mark of a metric ruler with S. Then estimate the coordinate of T. For example, if you align Swith 2, T appears to align with 5.4. ST= 5.4 – 2 = 3.4 The length of STis about 3.4 centimeters. ANSWER EXAMPLE 1 Apply the Segment Addition Postulate SOLUTION Use Ruler Postulate.

  2. Maps The cities shown on the map lie approximately in a straight line. Use the given distances to find the distance from Lubbock, Texas, to St. Louis, Missouri. The distance from Lubbock to St. Louis is about 740 miles. ANSWER EXAMPLE 2 Apply the the Segment Addition Postulate SOLUTION Because Tulsa, Oklahoma, lies between Lubbock and St. Louis, you can apply the Segment Addition Postulate. LS = LT + TS = 380 + 360 = 740

  3. 1 8 1. ANSWER 5 MN1 in 8 2. ANSWER 3 PQ1 in 8 for Examples 1 and 2 GUIDED PRACTICE Use a ruler to measure the length of the segment to the nearest inch. Use ruler postulate Use rulerpostulate

  4. In Exercises 3 and 4, use the diagram shown. 3. Use the Segment Addition Postulate to find XZ. ANSWER xz = 73 for Examples 1 and 2 GUIDED PRACTICE SOLUTION xz = xy + yz Segment addition postulate = 23 + 50 Substitute 23 for xy and 50 for yz = 73 Add

  5. In the diagram, WY = 30. Can you use the Segment Addition Postulate to find the distance between points Wand Z? 4. ANSWER NO; Because w is not between x and z. for Examples 1 and 2 GUIDED PRACTICE

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