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Understanding Length Measurement and the Segment Addition Postulate

This resource explains how to measure the length of a segment (ST) using a metric ruler, rounding to the nearest tenth of a centimeter. It demonstrates how to apply the Segment Addition Postulate for practical examples, such as finding distances between cities on a map. Detailed steps show the process of estimating coordinates and combining segment lengths to find total distances. Perfect for students learning geometry concepts, it emphasizes the importance of precision in measurements and the application of geometrical principles in real-life scenarios.

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Understanding Length Measurement and the Segment Addition Postulate

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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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