Midpoint of a line segment
The midpoint of a line segment is the point that divides the segment into two equal parts
The midpoint of a line segment is the point that divides the segment into two equal parts. In other words, it is the point that is equidistant from both ends of the segment.
To find the midpoint of a line segment, you can use the midpoint formula, which states that the coordinates of the midpoint (x, y) can be calculated using the following formula:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment.
Here’s an example to illustrate the concept:
Let’s say we have a line segment with endpoints A(2, 4) and B(6, 10). To find the midpoint, we can apply the midpoint formula:
x = (2 + 6) / 2 = 8 / 2 = 4
y = (4 + 10) / 2 = 14 / 2 = 7
Therefore, the midpoint of the line segment AB is M(4, 7).
Visually, the midpoint would be the point that lies exactly halfway between A and B, dividing the segment into two equal lengths.
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