The coordinates of c are 4 4 and the midpoint of is at m what are the coordinates of point d

The midpoint calculator will take two coordinates in the Cartesian coordinate system and find the point directly in-between both of them. This point is often useful in geometry. As a supplement to this calculator, we have written an article below that discusses how to find the midpoint and what the midpoint formula is.

If you want to understand how one coordinate changes with respect to another, we recommend checking the average rate of change calculator.

1. Label the coordinates(x₁,y₁) and (x₂,y₂).
2. Input the values into the formula.
3. Add the values in the parentheses and divide each result by 2.
4. The new values form the new coordinates of the midpoint.
5. Check your results using the midpoint calculator.

Suppose we have a line segment and want to cut that section into two equal parts. To do so, we need to know the center. We can achieve this by finding the midpoint. You could measure with a ruler or just use a formula involving the coordinates of each endpoint of the segment. The midpoint is simply the average of each coordinate of the section, forming a new coordinate point. We shall illustrate this below.

If we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2. This forms a new coordinate you can call (x₃,y₃). The midpoint calculator will solve this instantaneously if you input the coordinates. Follow the steps above if calculating by hand.

For small numbers, it's easy to calculate the midpoint by hand, but with larger and decimal values, the calculator is the simplest and most convenient way to calculate the midpoint.

It is possible to divide a line segment into any given ratio, not just 1:1. Use our ratios of directed line segments calculator to learn how.

Just as finding the midpoint is often required in geometry, so is finding the distance between two points. The distance between two points on a horizontal or vertical line is easy to calculate, but the process becomes more difficult if the points are not aligned as such. This is often the case when dealing with sides of a triangle. Therefore, the distance calculator is a convenient tool to accomplish this.

In some geometrical cases, we wish to inscribe a triangle inside another triangle, where the vertices of the inscribed triangle lie on the midpoint of the original triangle. The midpoint calculator is extremely useful in such cases.

1. Find the lower class limit. For a range of 2-5, this is 2.
2. Find the upper class limit. For the same range, it is 5.
3. Add the two numbers together. For us, this yields 7.
4. Divide the result by 2. The class midpoint of 2-5 is 3.5.

1. Double your midpoint.
2. Subtract your known endpoint to get the other. It doesn’t matter if it's the upper or lower bound.
3. Marvel at your mathematical skills!

To find the midpoint of a triangle, known technically as its centroid, follow these steps:

1. Find the midpoint of the sides of the triangle. If you know how to do this, skip to step 5.
2. Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line.
3. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates. The results give you the coordinates of the midpoint.
4. Draw a line between a midpoint and its opposite corner.
5. Repeat for at least one other midpoint and corner pair, or both for the highest degree of accuracy.
6. Where all the lines meet is the centroid of the triangle.

To find the midpoint, or center, of a circle, follow these instructions:

1. Find two points on the circle that are completely opposite from each other, i.e., that is they are separated by the diameter of the circle.
2. If you know their coordinates, add the two x coordinates together, and divide the result by 2. This is the x coordinate of the centre.
3. Do the same for the 2 y coordinates, which will give you the y coordinate.
4. Combine the two to get the centroid’s coordinates.
5. If you do not know the coordinates, measure the distance between the two points and half it.
6. This half distance between one endpoint and the other is the midpoint.

To find the midpoint, or centroid, of a square, follow this simple guide:

1. If you have the coordinates of two opposite corners of a square, add the 2 x coordinates together and divide the result by 2.
2. Do the same for the y coordinates.
3. Use these two calculated numbers to find the centre of the square, as they are its x and y coordinates respectively.
4. Alternatively, draw a line from one corner to the opposite corner, and another for the remaining pair.
5. Where these two points cross is the square’s centroid.

In general, you don’t round midpoints. You definitely do not for continuous data, as that point is a real point in a data set. For discrete data, you generally do not, instead noting that the midpoint is the value of both of the values either side of the midpoint calculation.

2.5. To find the midpoint of any range, add the two numbers together and divide by 2. In this instance, 0 + 5 = 5, 5 / 2 = 2.5.

You can find the midpoint, or centroid, of trapezoid, by one of two methods:

1. Draw a line from one corner of the trapezoid to its opposing corner.
2. Do the same for the remaining pair of corners.
3. Where these two lines cross is the centroid.
4. Balance your trapezoid perfectly on its centroid!

Alternatively:

1. Take the coordinates of two opposite sides.
2. Add the x coordinates of these points together and divide by 2. This is the midpoint’s x coordinate.
3. Repeat for the 2 y coordinates, giving the midpoint’s y coordinate.

1. Add 0 and 2 together to get 2.
2. Divide the result by 2, which results in 1. This is the x coordinate of the midpoint.
3. Add 2 and 8 together, which is 10.
4. Divide 10 by 2, the result of which is 5, this is the y coordinate of the midpoint.
5. Put the two coordinates together; the midpoint of (0,2) and (2,8) is (1,5).

45. To find the midpoint of any two numbers, find the average of those two numbers by adding them together and dividing by 2. In this case, 30 + 60 = 90. 90 / 2 = 45.

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.

Midpoint and Endpoint Calculator Solutions

Input two points using numbers, fractions, mixed numbers or decimals. The midpoint calculator shows the work to find:

• Midpoint between two given points
• Endpoint given one endpoint and midpoint
• Distance between two endpoints

The calculator also provides a link to the Slope Calculator that will solve and show the work to find the slope, line equations and the x and y intercepts for your given two points.

How to Calculate the Midpoint

You can find the midpoint of a line segment given 2 endpoints, (x1, y1) and (x2, y2). Add each x-coordinate and divide by 2 to find x of the midpoint. Add each y-coordinate and divide by 2 to find y of the midpoint.

Calculate the midpoint, (xM, yM) using the midpoint formula:

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

It's important to note that a midpoint is the middle point on a line segment. A true line in geometry is infinitely long in both directions. But a line segment has 2 endpoints so it is possible to calculate the midpoint. A ray has one endpoint and is infinitely long in the other direction.

Example: Find the Midpoint

Say you know two points on a line segment and their coordinates are (6, 3) and (12, 7). Find the midpoint using the midpoint formula.

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

1. First, add the x coordinates and divide by 2. This gives you the x-coordinate of the midpoint, xM

\( x_{M} = \dfrac {x_{1} + x_{2}} {2} \)

\( x_{M} = \dfrac {6 + 12} {2} \)

\( x_{M} = \dfrac {18} {2} \)

2. Second, add the y coordinates and divide by 2. This gives you the y-coordinate of the midpoint, yM

\( y_{M} = \dfrac {y_{1} + y_{2}} {2} \)

\( y_{M} = \dfrac {3 + 7} {2} \)

\( y_{M} = \dfrac {10} {2} \)

3. Take each result to get the midpoint. In this example the midpoint is (9, 5).

How to Calculate Distance Between 2 Points

If you know the endpoints of a line segment you can use them to calculate the distance between the 2 points. Here you're actually finding the length of the line segment. Use the formula for distance between 2 points:

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

The formula for distance between points is derived from the Pythagorean theorem, solving for the length of the hypotenuse. See our Pythagorean Theorem Calculator for a closer look.

Example: Find the Distance Between 2 Points

You know 2 points on a line segment and their coordinates are (13, 2) and (7, 10). Find the distance between the 2 points using the distance formula \( d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} \)

1. Insert your points (13, 2) and (7, 10) into the distance equation

\( d = \sqrt {(7 - 13)^2 + (10 - 2)^2} \)

2. Complete the subtraction first since they're in parentheses

\( d = \sqrt {(-6)^2 + (8)^2} \)

3. Find the square of each term

\( d = \sqrt {36 + 64} \)

4. Add the results
5. Find the square root and you've found the distance between the 2 points

Similar to this midpoint calculator is our Two Dimensional Distance Calculator. For distance between 2 points in 3 dimensions with (x, y, z) coordinates please see our 3 Dimension Distance Calculator.

How to Calculate Endpoint

If you know an endpoint and a midpoint on a line segment you can calculate the missing endpoint. Start with the midpoint formula from above and work out the coordinates of the unknown endpoint.

1. First, take the midpoint formula:

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

2. And break it down so you have separate equations for the x and y coordinates of the midpoint

\( x_{M} = \dfrac {x_{1} + x_{2}} {2} \)

\( y_{M} = \dfrac {y_{1} + y_{2}} {2} \)

3. Rearrange each equation so that you're solving for x2 and y2

   \( x_{2} = 2x_{M} - x_{1} \)

   \( y_{2} = 2y_{M} - y_{1} \)

4. Since you know the midpoint, insert its coordinates in place of xM and yM in each equation
5. Insert the coordinates of your known endpoint into the values for x1 and y1
6. Finally, solve each equation to find x2 and y2 which will be the coordinates of your missing endpoint

Example: Find the Endpoint

Using the steps above, let's find the endpoint of a line segment where we know one endpoint is (6, -4) and the midpoint is (1, 7). The endpoint is the (x1, y1) coordinate. The midpoint is the (xM, yM) coordinate.

1. First, take the midpoint formula:

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

2. And rearrange the equations so that you're solving for x2 and y2

\( x_{2} = 2x_{M} - x_{1} \)

\( y_{2} = 2y_{M} - y_{1} \)

3. Insert the coordinates of your midpoint (1, 7) in place of xM and yM in each equation

\( x_{2} = 2(1) - x_{1} \)

\( y_{2} = 2(7) - y_{1} \)

4. Insert the coordinates of your known endpoint (6, -4) into the values for x1 and y1

\( y_{2} = 2(7) - (-4) \)

5. Solve each equation to find x2 and y2.
6. Your missing endpoint (x2, y2) is (-4, 18)