What is the Midpoint Formula?
The midpoint formula finds the coordinates of the point exactly halfway between two points:
Midpoint Formula:
- x-coordinate: (x₁ + x₂)/2
- y-coordinate: (y₁ + y₂)/2
where (x₁,y₁) is the first point and (x₂,y₂) is the second point.
How to Find the Midpoint
- Identify the coordinates of your two points (x₁,y₁) and (x₂,y₂)
- Add the x-coordinates and divide by 2: (x₁ + x₂)/2
- Add the y-coordinates and divide by 2: (y₁ + y₂)/2
- Write your answer as a coordinate pair: (midpoint-x, midpoint-y)
The Midpoint Theorem
The midpoint theorem states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half the length. This important theorem has many applications in geometry and coordinate mathematics.
Common Questions About Midpoints
Why do we use the midpoint formula?
The midpoint formula helps us find the exact center point between two coordinates. This is useful in geometry, architecture, graphics, and many other real-world applications.
What is a midpoint in mathematics?
A midpoint is a point that divides a line segment into two equal parts. It's the exact middle of the line segment connecting two points.
How do you find the midpoint on a number line?
On a number line, the midpoint between two numbers is their average. Add the two numbers and divide by 2.