Table of Contents
What is Midpoint?
Midpoint is a mathematical calculation that determines the halfway point between two points. It is calculated by dividing the total distance between the two points by two.
What is a Line Segment?
A line segment is a segment of a line. It is a piece of a line that has two endpoints.
Define Midpoint of a Line Segment?
The midpoint of a line segment is a point that is equidistant from the two endpoints of the line segment.
The Midpoint of a Line Segment Formula
The midpoint of a line segment is the point that is halfway between the two endpoints of the line segment. The midpoint can be found using the following equation:
M = (x 1 + x 2 )/2
Where M is the midpoint, x 1 is the x-coordinate of the first endpoint, and x 2 is the x-coordinate of the second endpoint.
Example:
julia> a = 1
1
julia> a = a + 1
2
Midpoint Theorem
A line segment divides a plane into two regions: an inside region and an outside region. The line segment is the boundary of the inside region. The midpoint of the line segment is the point that divides the line segment into two equal halves. The midpoint theorem states that the inside region is half the size of the outside region.
How to Find the Midpoint of a Line Segment?
You can find the midpoint of a line segment by using the following formula:
M = (x1 + x2) / 2
Where M is the midpoint, x1 is the first coordinate, and x2 is the second coordinate.
Midpoint Formula Method
This method is also called the average rate of change method.
To find the midpoint of a segment, use the following formula:
(x 1 + x 2 ) / 2
To find the average rate of change of a segment, use the following formula:
(x 2 – x 1 ) / (x 2 – x 1 )
The Midpoint of a Line Segment Example with Solutions
To find the midpoint of a line segment, we first need to find the length of the line segment.
We then divide that length by 2 to find the midpoint.
The length of the line segment is 6 units.
6 / 2 = 3
