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Measuring Lengths and Segment Addition in Geometry

This guide teaches how to measure the length of a segment using a ruler and the Segment Addition Postulate. By aligning a metric ruler with a known point, such as point S, and estimating the coordinate of another point, T, you can easily calculate the length of segment ST. Additionally, this guide explores distances between cities using the Segment Addition Postulate, highlighting how to sum distances to find total lengths accurately. The provided examples will enhance your understanding of geometry concepts.

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Measuring Lengths and Segment Addition in Geometry

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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 Ruler 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 1 in. 8 2. ANSWER 1 in. 3 8 for Examples 1 and 2 GUIDED PRACTICE Use a ruler to measure the length of the segment to the nearest inch.

  4. In Exercises 3 and 4, use the diagram shown. In the diagram, WY = 30. Can you use the Segment Addition Postulate to find the distance between points Wand Z? Explain your reasoning. 4. 3. Use the Segment Addition Postulate to find XZ. ANSWER 73 ANSWER No; Y is not between W and Z. for Examples 1 and 2 GUIDED PRACTICE

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