Midpoint and Distance in the Coordinate Plane

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Presentation transcript:

Midpoint and Distance in the Coordinate Plane Geometry Farris 2015

I can develop and apply the formula for midpoint. I can use the Distance Formula and the Pythagorean Theorem to find the distance between two points.

Coordinate Plane A plane that is divided into 4 regions by a horizontal line (x – axis) and vertical line (y – axis). The location, or coordinates, of a point are given by an ordered pair. (x, y)

Midpoint Formula The midpoint of two coordinates.

Midpoint Formula Example

Finding the Coordinates of an Endpoint https://www.sophia.org/tutorials/applying-the-midpoint-formula-with-one-endpoint--11

Finding endpoint example

Distance Formula The distance between two points.

Distance Formula Example

Definitions Legs – the two sides of a triangle that form the right angle. Hypotenuse – the side across from the right angle that stretches from one leg to the other.

Pythagorean Theorem In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

Finding distance in the coordinate plane https://www.youtube.com/watch?v=OZp7ToriFko