Some coordinate geometry questions may require you to find the midpoint of line segments in the coordinate plane. To find a point that is halfway between two given points, get the average of the x-values and the average of the y-values.
The following diagram shows the midpoints formula for the two points (x1,y1) and (x2,y2). Scroll down the page for more examples and solutions on how to use the midpoint formula.For example:
The midpoint of the points A(1,4) and B(5,6) is
We can use the midpoint formula to find the midpoint when given two endpoints.
Example:
Find the midpoint of the two points A(1, -3) and B(4, 5).
Solution:
Midpoint = = (2.5, 1)
Worksheet 1, Worksheet 2 to calculate the midpoint.
How to use the formula for finding the midpoint of two points?
Example:
Find the midpoint of the two points (5, 8) and (-5, -6).
We can use the midpoint formula to find an endpoint when given a midpoint and another endpoint.
Example:
M(3, 8) is the midpoint of the line AB. A has the coordinates (-2, 3), Find the coordinates of B.
Solution:
Let the coordinates of B be (x, y)
Coordinates of B = (8, 13)
How to find a missing endpoint when given the midpoint and another endpoint?Try the free Mathway calculator and
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