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Section 1.8 Distance and Midpoint Formulas

Warm up: How far does a catcher need to throw to second base in softball (bases are 60 feet apart)? . Section 1.8 Distance and Midpoint Formulas. Question to be Answered: How do you find the distance and midpoint between two points?. Y-Axis. X-axis. What do you know?.

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Section 1.8 Distance and Midpoint Formulas

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  1. Warm up: How far does a catcher need to throw to second base in softball (bases are 60 feet apart)?

  2. Section 1.8 Distance and Midpoint Formulas Question to be Answered: How do you find the distance and midpoint between two points?

  3. Y-Axis X-axis What do you know? In coordinate geometry, you describe a point by an ordered pair (x,y), called the coordinates of the point.

  4. The Cartesian Plane. y-axis 2 Quadrant 1 Origin (0,0) x-axis 4 3

  5. What do you know? • Plot P(-3,4), Q(0,0), R(2,4) , S(1,-4)

  6. Graph the points A(2,2), B(-4,2), and C(2,-3) AB= AC= BC=

  7. Distance FormulaTo find the distance between two points that are not on a horizontal or vertical line, you can use the distance formula.

  8. Do ex. 3 and 4 A(5,2) B(-4,-1) AB= B(-2,-4) G(-5,3) BG=

  9. Find the midpoint of AB. A(2,2) B(-4,2)

  10. -7 -2 -1 1 3 5 7 -6 -5 -4 -3 0 4 6 8 2 Mid point Formula (x1,y1) Midpoint is ½ way between! Average value of x’s and y’s. (x2, y2)

  11. Do ex. 5-6. Graph your answer. 5.) (3,5) and (7,-9) 6.) (-2,6) and (-1, 4)

  12. If the midpoint of AB is M(3,4) and endpoint A is (-3,-2), find the coordinates of endpoint B.

  13. Hwk: p. 56-57 1-17 odds, 48

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