Take the sum of the two x coordinates of the endpoints and divide it by 2.To find the midpoint of any line segment the following steps are used. As the midpoint will always divide a line segment in a 1:1 ratio, the section formula can be converted to get the midpoint formula. The section formula is used to determine the ratio in which a point divides a line segment externally or internally. The midpoint formula is a special case of the section formula. Step 4: Click on " Reset" to clear the fields and enter the new values.Step 3: Click on " Calculate" to find the midpoint.
Step 2: Enter the 'x' and 'y' coordinate values for both the points in the respective input boxes.Step 1: Go to Cuemath's online midpoint calculator.Midpoint Calculatorįollow these steps to use the online midpoint calculator to find the midpoint of a line segment. To use the midpoint calculator enter the values in the input boxes. The midpoint is a point that divides the line segment internally in a 1:1 ratio. Midpoint Calculator is used to compute the midpoint of a line segment when the x and y coordinates of the two endpoints have been specified. It is also the centroid of the line segment. The midpoint is a point on the line segment that is at an equal distance from the two endpoints. If not, then it isn't a bisector.Ĭheck if you got the right answers by referencing this midpoint calculator if you get stuck.Midpoint Calculator is an online tool that calculates the midpoint for the given points in a coordinate plane. You may also come across questions asking if a certain coordinate is a bisector, and you'll have to determine with the midpoint formula whether you get the midpoints that was stated. Some questions may ask you to find the bisector of a line, which is basically asking you for a midpoint.
If you plotted the line segment out onto a graph, and then dropped a point down onto (6,4), you'll indeed see that this is the point that separates the segment into two equal portions.Īnother word for a point that cuts a line into two equal segments is called a bisector. We have determined that the midpoint between two points lies exactly at the coordinates (6,4) through the midpoint rule using the midpoint equation. Adding that together gives us 8, and dividing it by two gives us 4. We have 7 and 1 from, again, point A and B respectively. Then, do the same thing with the y-coordinates. Simply add the two together then divide it by 2 to get the average, a.k.a the midpoint for the x-value. We have 3 and 9 taken from point A and B respectively. This is all you'll need in order to make use of the midpoint formula.įirst, we'll take out the x-coordinates first so that we can work on finding the midpoint's x-coordinate. Firstly, we are given the coordinates of the two points for which we must find the midpoint of a segment. Let's take a closer look at the steps from the above example. This is all summed up nicely with the midpoint formula, which is as follows: But once you know the endpoints of a line segment, you can easily find the midpoint. Of course, this means that you'll need to know the coordinates of the two points in question before you can find its midpoint. The midpoint of the y-value is halfway between the two points' y-values. The midpoint of the x-value is halfway between the two points' x-values. The midpoint formula is similar and instead of taking the average of just a number, you'll have to take the average of the x- and y- values from two points separately. First add them together, then divide it by two. What do you usually do? You'll take the average of them. If you think about it, the idea of finding the number that lies between a set of numbers is quite easy. This usually comes into play when a question asks you to divide up a line into two equal halves, or in word problems when it asks you to find the midpoint. At times, you may need to find the midpoint between two points.
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