Midpoint Calculator

An online midpoint calculator helps you to calculate the midpoint of a line segment with endpoints as A and B in a matter of seconds. Just enter the coordinates of the endpoints and the tool will find the coordinates of the midpoint. 

So if you are thinking about how to find the midpoint of a line segment, stop worrying and start using this smart calculator to speed up your calculations.

What Is Midpoint?

In analytical geometry:

“A particular point that lies at the center of a line segment is known as the midpoint”

The midpoint always lies in between two reference points that make up a line. It divides the line into two parts of the same length.

How To Find The Midpoint Between Two Points?

When you are given the endpoints of a line segment, you can find the midpoint by hand.

• First of all, add the X coordinate values and determine their half (Divide by 2)
• Repeat the same procedure for the Y coordinate of the midpoint

Midpoint Formula:

$$ (x_{M}, y_{M}) = \left(\dfrac {x_{1} + x_{2}} {2} , \dfrac {y_{1} + y_{2}} {2}\right) $$

The midpoint calculator with steps also utilizes the same formula to calculate the coordinate of points that sits at the center of a line.

How To Calculate Midpoint?

Let’s make a supposition that you have two endpoints A and B of line segments. These points have the coordinates as follows:

$$ A = \left(2, 8\right) $$

$$ B = \left(3, 6\right) $$

How to find the midpoint?

Solution:

We know the midpoint formula that is also used by the midpoint formula calculator to calculate the midpoint of the line segments:

$$ M = (x_M, \; y_M) $$

$$ M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) $$

$$ M = \left(\dfrac{2 + 3}{2}, \; \dfrac{8 + 6}{2}\right) $$

$$ M = \left(\dfrac{5}{2}, \; \dfrac{14}{2}\right) $$

$$ M = \left(2\dfrac{1}{2}, \; 7\right) $$

$$ M = (2.5, \; 7) $$

How To Use Midpoint Calculator?

The simple UI of the midpoint calculator allows you to calculate the midpoint of the line segment by using the following guide:

Input:

• Enter the X coordinates in their respective fields
• Likewise, enter the coordinates of the Y 
• Tap Calculate 

Output:

• Midpoint of the line segment (fraction and decimal), with step shown
• Difference and ratio
• Percent increase and arithmetic comparison
• Number line, total, and vector length 
• Angles between points and pie chart 
• Polar coordinates

Faqs:

How to Find the Distance Between Two Points?

The following formula can be used to calculate teh distance between two endpoints of the line segment:

$$ d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} $$

How To Find Midpoint of a Triangle?

The midpoint of the triangle is known as Centroid and can be calculated as:

• Determine the midpoints of all 3 sides
• Using endpoint and midpoint of all sides, draw lines that intersect the triangle sides from the center
• Where the lines meet, that is the midpoint of the triangle

What Is The Midpoint of (0,2) and (2,8)?

Calculated through the midpoint formula calculator, the midpoint (0, 2) and (2, 8) is (1, 5).

Do You Round Midpoints?

Midpoint can not be rounded off. 

How Do You Find The Endpoint With The Midpoint and The Other Endpoint?

To find the endpoint, follow the steps below:

• First, consider the midpoint formula

$$ M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) $$

• Now, separate the equations for both X and Y coordinates

$$ x_{M} = \dfrac {x_{1} + x_{2}} {2} $$

$$ y_{M} = \dfrac {y_{1} + y_{2}} {2} $$

• At last, rearrange both equations to solve for X and Y 

$$ x_{2} = 2x_{M} - x_{1} $$

$$ y_{2} = 2y_{M} - y_{1} $$

To get instant results, subject to our midpoint calculator that automatically calculates everything in seconds.

References:

From the source Wikipedia: Midpoint, Construction, Geometric properties involving midpoints, Generalizations

From the source Khan Academy: Midpoint formula, Distance between points

From the source Lumen Learning: Calculating Price Elasticities Using the Midpoint Formula, Midpoint Method, Distance Formula, The Standard Form Of Equations Of Circles