# Given a segment with endpoints a and b

## Finding the Midpoint

### Use the formula to find the midpoint

In mathematics, the midpoint is the halfway point between two given points. It is usually denoted by either m or Mid. To find the midpoint, one finds the average of the x-coordinates and the average of the y-coordinates. The midpoint formula is written as:

Midpoint = (x1+x2)/2 , (y1+y2)/2

Where x1 and x2 are the x-coordinates of the two given points and y1 and y2 are the y-coordinates of the two given points.

### Find the coordinates of the midpoint.

You can find the midpoint of a line segment by using the Midpoint Formula. This formula is derived from the Pythagorean Theorem and states that the midpoint of a line segment is: M = (x1 + x2)/2, (y1 + y2)/2 where M is the midpoint, (x1, y1) are the coordinates of one end point, and (x2, y2) are the coordinates of the other end point.

## Plotting the Midpoint

Endpoints are two points that mark the ends of a line segment. The midpoint is the point that falls halfway between the two endpoints. You can find the midpoint by using the midpoint formula: (x1 + x2)/2, (y1 + y2)/2.

### Use a ruler or a straight edge to draw a line segment

First, identify the endpoint of the line segment. Place the ruler on the endpoint and draw a line segment that is long enough to intersect the other endpoint. Use a pencil to make sure the line is visible.Label the endpoint of the line segment “a” and label the other endpoint “b.”

Next, use a straight edge to draw a line through point “a” and point “b.” The point where the lines intersect is the midpoint of the line segment! Label this point “M.”

### Place the midpoint at the center of the line segment.

There are two basic steps to plotting the midpoint of a line segment. First, determine the coordinates of the endpoints of the line segment. Second, use the endpoints’ coordinates to calculate the midpoint’s coordinates.

To calculate the coordinates of the midpoint, find the average of the x-coordinates and the average of the y-coordinates. The x-coordinate will be halfway between the two x-coordinates and the y-coordinate will be halfway between the two y-coordinates.

### Extend the line segment to create a new line segment

We can use the midpoint formula to find the coordinates of the midpoint of a line segment. The midpoint formula is given by:

$$M = \frac{1}{2}(a+b)$$

where $$M$$ is the midpoint and $$a$$ and $$b$$ are the endpoints of the line segment. To plot the midpoint of a line segment, we first need to extend the line segment to create a new line segment. We can do this by creating a perpendicular bisector of the original line segment. A perpendicular bisector is a line that passes through the midpoint of a line segment and is perpendicular to that line segment.