The midpoint formula averages the x coordinates and the y coordinates separately. The result is the exact center point of the segment connecting the two given points.
⚠The midpoint can contain fractions or decimals. Identical points have the same point as their midpoint.
How the Midpoint Formula Works
A midpoint splits a segment into two equal parts. Averaging coordinates places the new point exactly halfway in both horizontal and vertical directions.
Average x
Add both x values and divide by 2.
Average y
Add both y values and divide by 2.
Segment Center
The midpoint is centered on the segment.
Verification
Distances to both endpoints are equal.
💡 Example: For (2,3) and (8,7), M=((2+8)/2,(3+7)/2)=(5,5).
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