1-8 The Coordinate Plane SWBAT: Find the Distance between two points in the Coordinate Plane. Find the Coordinates of a Midpoint of a segment.

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Presentation transcript:

1-8 The Coordinate Plane SWBAT: 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 tenth R(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?

The Midpoint Formula Click here to watch a video!

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?