1-8 the coordinate plane swbat: find the distance between two points in the coordinate plane. find...
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1-8 The Coordinate
PlaneSWBAT:• Find the Distance between two points in the
Coordinate Plane.• Find the Coordinates of a Midpoint of a segment
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The Coordinate Plane and Geometry
• In Geometry we think of a Point as a dot and a Line as a series of points.
• In Coordinate Geometry you describe a point as an ordered pair (x,y) called the coordinates of the point.
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The Distance Formula• In order to find the distance between two ordered
pairs on the coordinate plane we can use the distance formula.
• The distance formula can be derived from the Pythagorean Theorem
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Think Pythagorean Theorem
Click here to watch a Video!!!!
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The Distance Formula
Select the Distance Formula Box to watch a video of the Distance formula in action!
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Use the Distance Formula
Find the distance between points R and T to the nearest tenthR(2, 3) T(5, 7)
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Use the Distance Formula
Find the distance between points R and T to the nearest tenth
R(-4, -1) T(5, 2)
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You Try!Find the distance between points R and S to the nearest tenth
1. R(-2, 6) S(6, -2) 2. R(-3,-3) S(-7,4)
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The Midpoint Formula• How would you find
the midpoint of the hypotenuse?
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A(8, 5) B(4, 3)
Find the Midpoint of AB
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A(3, 5) B(7, -9)
Find the Midpoint of AB
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A(13, 8) B(-6, -6)
Find the Midpoint of AB
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THINK!Find The Endpoint
• If Segment AB has Midpoint C at (4,5) and Point A has a coordinate (-1,0). What would Point B’s coordinates be?