The midpoint is the point exactly halfway between two points: M = ((x₁+x₂)/2, (y₁+y₂)/2). It's the average of the x-coordinates and the average of the y-coordinates. The midpoint divides a line segment into two equal parts.
How to Use
Enter two points:
- Point 1: (x₁, y₁)
- Point 2: (x₂, y₂)
- Midpoint: Automatically calculated
Midpoint Formula
- 2D: M = ((x₁+x₂)/2, (y₁+y₂)/2)
- 3D: M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)
- Section formula: divides in ratio m:n
Applications
- Finding center of a line segment
- Perpendicular bisector construction
- Center of a circle given diameter endpoints
- GPS: midpoint between locations
Step-by-Step Instructions
- 1Enter Point 1 coordinates.
- 2Enter Point 2 coordinates.
- 3View the midpoint.
- 4Check the distance between points.
- 5Review the perpendicular bisector.