Segment
A segment in mathematics refers to a portion or a part of a line
A segment in mathematics refers to a portion or a part of a line. It is the region between two endpoints, which are the exact points where the segment starts and ends. A segment is named based on its endpoints. To name a segment, we typically write the two endpoints with a line segment symbol (a horizontal line over the endpoints), like this: AB.
Segments have some important properties and measurements, such as length. To find the length of a segment, we measure the distance between its endpoints. For example, if we have a segment AB, we can use a ruler or other measuring tools to determine how many units or measurements there are from point A to point B.
If the coordinates of the endpoints are known, we can apply the distance formula to find the length of the segment. The distance formula states that the length of a segment AB, with endpoints (x1, y1) and (x2, y2), is given by:
Distance = √[(x2 – x1)^2 + (y2 – y1)^2]
By substituting the coordinates of the endpoints into this formula, we can calculate the length of the segment.
Segments are fundamental components in geometry and can be used to define other geometric figures and concepts, such as angles, triangles, and polygons. They are also crucial in mathematical proofs and constructions.
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