Math 0310 Homework-Supplement-MG-13.1-MP-May11

Math 0310 Homework-Supplement-MG-13.1-MP-May11 - Math 0310...

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Sect. 13.1: Midpoint and Distance Formulas The midpoint of a segment is the point that divides the segment into two congruent pieces. The midpoint of the segment that joins points ( 29 ( 29 1 1 2 2 and , , x y x y is the point + + ÷ 1 2 1 2 2 2 , x x y y . To find the midpoint of the segment joining, ( 29 ( 29 1 1 2 2 and , , x y x y , average the two x values and average the two y values. Find the midpoint of the segment with the following endpoints: Example 1. ( 29 5 8 , and ( 29 2 6 , Answer: 5 2 8 6 , 2 2 7 14 , 2 2 7 , 7 2 ÷ ÷ ÷ + + Example 2. (-8, 3) and (4, -1) Answer: ( 29 8 4 3 ( 1) , 2 2 4 2 , 2 2 2,1 ÷ ÷ - + + - - - The distance, d , between two points with coordinates ( 29 ( 29 1 1 2 2 and , , x y x y is given by . ( 29 ( 29 = - + - 2 1 2 1 2 2 d x x y y Find the distance between the given points: Example 3. (4, -5)
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Math 0310 Homework-Supplement-MG-13.1-MP-May11 - Math 0310...

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