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How to find the coordinates of the midpoint of a segment with the given endpoints?

1 Answer

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Answer:

see explanation

Explanation:

given the endpoints of a line segment

(x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[
(1)/(2)(x₁ + x₂),
(1)/(2)(y₁ + y₂) ]

For example

consider the endpoints (4, 2) and (6, - 4)

midpoint = [
(1)/(2)(4 + 6),
(1)/(2)(2 - 4)] = (5, - 1)


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