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Coordinate Geometry Study Guide: GED Math (page 2)

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Midpoint

The midpoint of a line segment is the coordinates of the point that falls exactly in the middle of the line segment. If (a,c) is one endpoint of a line segment and (b,d) is the other endpoint, the midpoint of the line segment is equal to . In other words, the midpoint of a line segment is equal to the average of the x values of the endpoints and the average of the y values of the endpoints.

Example

What is the midpoint of a line segment with endpoints at (1,5) and (–3,3)?

Using the midpoint formula, the midpoint of this line is equal to .

Distance

To find the distance between two points, use the following formula. The variable x1 represents the x-coordinate of the first point, x2 represents the x coordinate of the second point, y1 represents the y-coordinate of the first point, and y2 represents the y-coordinate of the second point:

Example

What is the distance between the points (–2,8) and (4,–2)?

Substitute these values into the formula:

Practice problems for these concepts can be found at:

Geometry Practice Problems: GED Math

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