The Coordinate Plane Finding Distance on the Coordinate

The Coordinate Plane

Finding Distance on the Coordinate Plane A point is represented by a dot and a line as a series of points. In coordinate geometry, a point is described by an ordered pair (x, y), called the coordinates of a point.

Finding Distance on the Coordinate Plane

Finding Distance on the Coordinate Plane To find the distance between two points on a horizontal or vertical line using the Ruler Postulate. To find the distance between two points that are not on a horizontal or vertical line, use the distance formula.

Finding Distance on the Coordinate Plane The Distance Formula The distance d between two points A(x 1, y 1) and B(x 2, y 2) is

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Finding the Midpoint of a Segment To find the coordinate of the midpoint of a segment on a number line, find the average or mean of the coordinates of the endpoints. The coordinate of the midpoint of a segment with endpoints a and b is

Finding the Midpoint of a Segment This process can be extended to find the coordinates of the midpoint of a segment in the coordinate plane. To find the coordinates of the midpoint of a segment by averaging the x-coordinate and averaging the y-coordinate of the endpoints.

Finding the Midpoint of a Segment The Midpoint Formula The coordinates of the midpoint of line segment AB with endpoints A(x 1, y 1) and B(x 2, y 2) are the following:

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