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THE DISTANCE FORMULA

THE DISTANCE FORMULA. During this lesson, we will use the Distance Formula to measure distances on the coordinate plane. DISTANCE FORMULA. Recall: You pick which point is first, then second. .

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THE DISTANCE FORMULA

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  1. THE DISTANCE FORMULA During this lesson, we will use the Distance Formula to measure distances on the coordinate plane.

  2. DISTANCE FORMULA Recall: You pick which point is first, then second.

  3. The diagram below shows the relationship between the Distance Formula and the coordinates of two endpoints of a line segment. A L E R T !  (X1 –X2)2 + (Y1-Y2)2

  4. EXAMPLE: Finding the length of a segment, given its endpoints  (X1 –X2)2 + (Y1-Y2)2

  5. Let’s Practice: What is the distance between the points (5, 6) and (– 12, 40) ?

  6. Let’s Practice: Find the lengths of the segments. Tell whether any of the segments have the same length. Use the Distance Formula. • A (-1,1) • C (3,2) • AC = ___ • A (-1,1) • D (2,-1) • AD = __ • A (-1,1) • B (4,3) • AB = ___ AB = 13; AC = 17; AD = 13

  7. Now, it’s your turn….. What is the distance between (–2, 7) and (4, 6)? What is your answer? _________ What is the distance between (–1, 1) and (4, 3)? What is your answer? _________ ALGEBRACHALLENGE: If the distance from (x, 3) to (4, 7) is 41 , what is the value of x? What is your answer? _________ Check your answers HERE. 6.08 13 9

  8. Final Checks for Understanding • Find the distance between the two points. C (0,0) D (5,2) 2. Use the Distance Formula to determine if JK = KL. J(3,-5); K(-1,2) ; L (-5,-5) _________________________________ • K (1,2) • L (-5,-5) • KL= • J (3,-5) • K (1,2) • JK=

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