Mastering Midpoint Calculation: A Step-by-Step Guide with Properties and Examples

Midpoint

The point halfway between two endpoints on a line segment.

The midpoint is a point that divides a line segment into two equal parts. To find the midpoint of a line segment, take the two endpoints and average their coordinates.

For example, consider the line segment with endpoints (2, 4) and (6, 8). To find the midpoint, we add the x-coordinates and divide by 2 to get:

(2 + 6) / 2 = 4

We then add the y-coordinates and divide by 2 to get:

(4 + 8) / 2 = 6

Therefore, the midpoint of the line segment with endpoints (2, 4) and (6, 8) is (4, 6).

The midpoint has several important properties. One property is that it lies on the perpendicular bisector of the line segment, which means that it is equidistant to the endpoints of the line segment. Another property is that the distance between the midpoint and either endpoint is half the length of the line segment.

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