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THE DISTANCE FORMULA ALGEBRA 1 CP

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WARM UP Can the set of numbers represent the lengths of the sides of a right triangle? 4, 5, 6

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HOMEWORK SOLUTIONS P. 416-417 #1-13 odd, 21-24 1.10 3. 2.2 5. 7.1 7.5.7 9. 20 11. 66.1 13. a) 6 2 +8 2 =100b) 5; 12; 7; 41 21. Yes 22. No 23. No24. Yes

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WITH A PARTNER 1.Graph the points A(-3, 4), B(1, 1), C(- 3, 1). Then connect the points with a ruler. 2.Find the lengths of AC and BC. 3.Triangle ABC is a right triangle. Use the Pythagorean theorem to write an equation relating AC, BC, and AB. 4.Substitue values for AC and BC in the equation you write in Question 3. Solve the equation to find AB.

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THE DISTANCE FORMULA The distance d between any two points (x 1, y 1 ) and (x 2, y 2 ) is

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EXAMPLE Find the distance between ( - 4, 5 ) and ( 4, - 2 )

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THE MIDPOINT FORMULA The midpoint M of a line segment with endpoints A(x 1, y 1 ) and B(x 2, y 2 ) is

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EXAMPLE Find the midpoint of the segment from A(-1, 6) to B(5, 0)

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HOMEWORK P. 423 #4-9, 17-20 P. 434 #62-65

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