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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
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.
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
Think Pythagorean Theorem
Click here to watch a Video!!!!
The Distance Formula
Select the Distance Formula Box to watch a video of the Distance formula in action!
Use the Distance Formula
Find the distance between points R and T to the nearest tenthR(2, 3) T(5, 7)
Use the Distance Formula
Find the distance between points R and T to the nearest tenth
R(-4, -1) T(5, 2)
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)
The Midpoint Formula• How would you find
the midpoint of the hypotenuse?
A(8, 5) B(4, 3)
Find the Midpoint of AB
A(3, 5) B(7, -9)
Find the Midpoint of AB
A(13, 8) B(-6, -6)
Find the Midpoint of AB
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?
