Understanding the Midpoint in Geometry: Formula and Example

midpoint

The midpoint is a concept in Geometry and refers to the point that is exactly halfway between two given points

The midpoint is a concept in Geometry and refers to the point that is exactly halfway between two given points.

To find the midpoint of a line segment, you can use the midpoint formula. This formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two given points, and the y-coordinate of the midpoint is the average of the y-coordinates of the two given points.

Suppose we have two points: A(x1, y1) and B(x2, y2). The midpoint, M, is given by the formula:

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

For example, let’s say we have point A with coordinates (2, 4) and point B with coordinates (8, 10). To find their midpoint, we can substitute the values into the midpoint formula:

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

Therefore, the midpoint of the line segment with endpoints A(2, 4) and B(8, 10) is M(5, 7).

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