Midpoint and Distance in the Coordinate Plane.   Students will be able to…  Develop and apply the formula for midpoint.  Use the distance formula.

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Presentation transcript:

Midpoint and Distance in the Coordinate Plane

  Students will be able to…  Develop and apply the formula for midpoint.  Use the distance formula to find the distance between two points. Learning Targets

 Find the area and the perimeter of… 1. A rectangle with width 4 and length 7 2. A triangle with base 8 and height 10 Find the area and circumference of… 3. A circle with radius 4 Warm-up

  Write the coordinates of the points plotted on the graph A. ___________B. _____________ C. _____________ D. ______________ Warm-up Day 2

 Homework Check

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  Coordinate plane:  a plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis). Review of Vocabulary

 Review of Coordinate Planes 1. Label the graph’s x-axis and y-axis. 2. Review plotting coordinates in the form (x,y). 3. Plot points and label by the appropriate letter. H. (2,7) I. (-5, -5) J. (-3, 6) K. (1, -4) 4. Write the coordinates of the points plotted on the graph A. ____________B. _____________ C. _____________D. ______________

 Review of Coordinate Planes 1. Label the graph’s x-axis and y-axis. 2. Plot points and label by the appropriate letter. H. (4,-2) I. (-5, 0) J. (-3,6) K. (-1, -1) 3. Write the coordinates of the points plotted on the graph A. ___________B. _____________ C. ____________D. _____________

 Midpoint Formula A B

 Finding the Coordinates of a Midpoint

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 Finding the coordinates of one endpoint Steps: 1. Let the coordinates of the missing endpoint equal (x, y) 2. Use the Midpoint Formula 3. Find the x coordinate 4. Find the y coordinate 5. Rewrite the coordinates Finding the Coordinates of an Endpoint

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 Review of Square Roots

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 Distance Formula

 1. Find XY using the distance formula. X(-2, 4) and Y(6, 1). Distance Formula

 2. Find EF using the distance formula. E(-2, 1) and F(-5, 5). Distance Formula

 3. Find XY using the distance formula. X(5, 10) and Y(-5, -10). Distance Formula

 Review