Find the midpoint of a line segment with a simple formula and explore its key properties in geometry

Midpoint

A point that divides a segment into two congruent segments

The midpoint is the point that lies exactly halfway between two given points on a plane or a line segment. Mathematically, we can find the midpoint of a line segment with the following formula:

Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

Here, (x1, y1) and (x2, y2) are the coordinates of the two given points. We add up the x-coordinates of the two points, divide by 2, and then add up the y-coordinates of the two points, and again divide by 2. This gives us the coordinates of the midpoint.

For example, let’s say we want to find the midpoint of the line segment joining the points (2, 3) and (8, 9). We use the formula:

Midpoint = [(2 + 8) / 2, (3 + 9) / 2]
= [5, 6]

So, the midpoint is (5, 6).

The midpoint has several important properties, such as being equidistant from the two endpoints and dividing the line segment into two equal parts. It is a fundamental concept in geometry and is used in many areas of mathematics and science.

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