Definition of a Midpoint
In mathematics, the midpoint refers to the point that is exactly halfway between two given points
In mathematics, the midpoint refers to the point that is exactly halfway between two given points. It is the point that divides a line segment into two equal parts. The midpoint can be found by using the formula:
Midpoint = (x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two given points. The formula takes the average of the x-coordinates and the average of the y-coordinates to determine the midpoint.
Geometrically, the midpoint can be visualized as the point where a line segment would balance perfectly if it was placed on a fulcrum. It is equidistant from both endpoints of the segment.
It is important to note that the midpoint is a unique point on a line segment. It possesses several properties, such as being collinear with the two endpoints and having equal distances to both endpoints. The concept of midpoint is widely used in various areas of mathematics, including geometry, algebra, and calculus.
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