Midpoint Calculator
Find the midpoint between two points, calculate the distance, or determine a missing endpoint. Get step-by-step solutions using the midpoint and distance formulas.
Point 1
Point 2
Enter coordinates and click Calculate to see the result.
How To Find the Midpoint
The midpoint is the point exactly halfway between two given points. It is found by averaging the x-coordinates and the y-coordinates separately.
Midpoint Formula
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Example: Midpoint of (1, 3) and (5, 7) = ((1+5)/2, (3+7)/2) = (3, 5).
Distance Formula
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Based on the Pythagorean theorem. Gives the straight-line distance between points.
Real-World Applications
Navigation
Find the halfway point between two cities or GPS coordinates for meeting spots.
Geometry
Find centers of line segments, diagonals of rectangles, and centroids of triangles.
Design
Center elements between two reference points in graphic design or architecture.
Frequently Asked Questions
What is the midpoint formula?
The midpoint formula is M = ((x1 + x2)/2, (y1 + y2)/2). It finds the point exactly halfway between two given points by averaging their x-coordinates and y-coordinates separately.
How do you find the midpoint of two points?
Add the two x-coordinates and divide by 2 to get the midpoint's x value. Do the same for the y-coordinates. For example, the midpoint of (2, 4) and (6, 8) is ((2+6)/2, (4+8)/2) = (4, 6).
How do you find a missing endpoint given the midpoint?
Use the formula: Endpoint2 = (2*Mx - x1, 2*My - y1), where (Mx, My) is the midpoint and (x1, y1) is the known endpoint. This reverses the midpoint formula to solve for the unknown point.
What is the distance formula?
The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2). It comes from the Pythagorean theorem and gives the straight-line distance between two points in a coordinate plane.
Can the midpoint have decimal or negative coordinates?
Yes. The midpoint can be any real number. If the sum of two coordinates is odd, the midpoint will have a .5 decimal. Negative coordinates are perfectly normal when points are in quadrants II, III, or IV.
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