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Published byAisha Callaway Modified about 1 year ago

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EXAMPLE 1 Apply the Segment Addition Postulate Measure the length of ST to the nearest tenth of a centimeter. SOLUTION 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. Use Ruler Postulate. ST = 5.4 – 2 = 3.4 The length of ST is about 3.4 centimeters.ANSWER

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EXAMPLE 2 Apply the the Segment Addition Postulate SOLUTION 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. Because Tulsa, Oklahoma, lies between Lubbock and St. Louis, you can apply the Segment Addition Postulate. LS = LT + TS = = 740 The distance from Lubbock to St. Louis is about 740 miles. ANSWER

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

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

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

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