Apply the Ruler Postulate

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Presentation transcript:

Apply the Ruler Postulate EXAMPLE 1 Apply the Ruler 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. ST = 5.4 – 2 = 3.4 Use Ruler Postulate. The length of ST is about 3.4 centimeters. ANSWER

EXAMPLE 2 Apply the the Segment Addition Postulate 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. SOLUTION Because Tulsa, Oklahoma, lies between Lubbock and St. Louis, you can apply the Segment Addition Postulate. LS = LT + TS = 380 + 360 = 740 The distance from Lubbock to St. Louis is about 740 miles. ANSWER

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

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