Midpoint of a segment

S=\left(\tfrac{x_1+x_2}{2},\tfrac{y_1+y_2}{2}\right)

Result unit: — (coordinates)

What it describes

The coordinates of the midpoint of a segment are the arithmetic means of the endpoints' coordinates.

S

midpoint of the segment

(x_1,y_1),(x_2,y_2)

endpoints of the segment

The midpoint has coordinates that are the averages of the endpoints' coordinates — "halfway along" each axis.

Midpoint of a segment, center of symmetry, center of a circle from the endpoints of a diameter.

Given

A(2,4)

B(6,8)

. Find the midpoint of the segment.

Substitution

A(2,4)

B(6,8)

Result

S=\left(\tfrac{2+6}{2},\tfrac{4+8}{2}\right)=(4,6)

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