Apply the Segment Addition Postulate

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Presentation transcript:

Apply the Segment Addition Postulate 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. 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

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

In Exercises 3 and 4, use the diagram shown. 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. SOLUTION xz = xy + yz Segment addition postulate = 23 + 50 Substitute 23 for xy and 50 for yz = 73 Add ANSWER xz = 73

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