Geometry · Foundation · 7 min
Midpoints & segments
A midpoint averages the coordinates because it lies halfway along both coordinate changes.
WHAT HAPPENS IF…Find the midpoint of (-2,-1) and (3,2).
Loading the mathematical model…
Starting at A, take the fraction t of the displacement B−A. At t=1/2 this gives (A+B)/2. Distances along the segment are t|B−A| and (1−t)|B−A| for 0≤t≤1.
A detail that matters
A midpoint averages coordinates, not the distances of the endpoints from the origin.
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