How to Find the Midpoint of a Segment | Step-by-Step Guide and Formula Explanation

midpoint of a segment

The midpoint of a segment is the point that divides the segment into two equal halves

The midpoint of a segment is the point that divides the segment into two equal halves. In other words, it is the point that is equidistant from both endpoints of the segment. The midpoint can be considered as the center point of the segment.

To find the midpoint of a segment, you can use the midpoint formula. Let’s say we have a segment with endpoints (x1, y1) and (x2, y2). The midpoint (M) can be found by using the following formula:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

In simple terms, to find the x-coordinate of the midpoint, add the x-coordinates of the endpoints and divide by 2. Similarly, to find the y-coordinate of the midpoint, add the y-coordinates of the endpoints and divide by 2.

For example, consider a segment with endpoints (2, 4) and (8, 10). To find the midpoint of this segment, we can use the formula:

M = ((2 + 8) / 2, (4 + 10) / 2)
= (10 / 2, 14 / 2)
= (5, 7)

Therefore, the midpoint of the segment with endpoints (2, 4) and (8, 10) is (5, 7). This means that the point (5, 7) is exactly halfway between the two endpoints of the segment.

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