Geometry
Class 10

Midpoint Formula

M=(x1+x22,y1+y22)M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)
−10−50510−4−20246
M = ((x₁+x₂)/2, (y₁+y₂)/2)

Adjust Variables

Point 1 x
x1 =
-1010
Point 2 x
x2 =
-1010

Special case of section formula with m:n = 1:1. The midpoint divides the segment into two equal parts.

Real-World Applications

Construction — Finding center of rectangular plots.

Sports — Halfway point on a race track.

Geography — Meeting point between two cities.

Computer graphics — Center of line segments in CAD.

Physics — Center of mass for equal masses.

Gaming — Camera positioning between two characters.

Navigation — Midpoint of a voyage.

Surveying — Bisecting property boundaries.

Art — Finding center for symmetrical designs.

Engineering — Center of structural elements.

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