Midpoint
A point that divides a segment into two congruent segments
The midpoint is the point that lies exactly halfway between two given points. It divides the line segment into two equal parts, which means that the distance from each endpoint to the midpoint is the same.
To find the midpoint of a line segment, we can use the midpoint formula. The formula is as follows:
Midpoint = [(x1 + x2)/2, (y1 + y2)/2]
Where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment.
Let’s say we want to find the midpoint of a line segment that has endpoints at (3, 4) and (-1, 8). Using the midpoint formula, we get:
Midpoint = [(3 + (-1))/2, (4 + 8)/2]
Midpoint = [2/2, 12/2]
Midpoint = [1, 6]
Therefore, the midpoint of the line segment with endpoints (3, 4) and (-1, 8) is (1, 6).
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