Any portion of a line with two endpoints and a set length is referred to as a line segment. It differs from a line that can extend in both directions and has neither a beginning nor an end. We’ll learn more about a line segment, its symbol, and how to measure one in this session.
A measurable path between two points is referred to as a line segment. Line segments can make up the sides of any polygon because they have a set length. In other words, a line segment is a section or element of a line with two endpoints. A line segment, in contrast to a line, has a known length. A line segment’s length can be calculated using either metric measurements like millimetres or centimetres, or conventional measurements like feet or inches. A line segment is made from the words line and segment. While the word segment comes from the Latin word segmentum, which means strip, a portion cut off, or a segment of earth, the word line is derived from the same root as that word.
Follow the given steps to measure the length of a line segment
Step1: Take a scale out to weigh a line segment to determine its length. A centimetre scale is typically used to measure shorter line segments.
Step2: Decide the line segment to measure.
Step3: Set the ruler’s zero marking at the beginning of the line segment.
Step4: Read the scale’s number at the line’s terminus.
Drawing a Line Segment Using Ruler and Compass
Step1: Draw any length of a line. As the beginning of the line segment, mark point A on the line.
Step2: Place the compass pointer 5 cm away from the pencil lead using a ruler.
Step3: Place the compass pointer 5 cm away from the pencil lead using a ruler.
Step4: Affix the letter B to the spot where the arc and the line meet.
Step5: The necessary 5 cm long line section is called AB.
The coordinates of the point that splits a line segment (internally or externally) into a certain ratio are found using the Section formula. This formula is frequently used in physics and mathematics. It is used to determine the centroid, incenters, or excenters of a triangle in mathematics, and the centre of mass, equilibrium points, etc. in physics. To determine the middle of a line segment, the section formula is frequently employed. The section formula is used to determine the coordinates of a point that splits a line segment externally or internally in a certain ratio. It’s a useful tool for determining the coordinates of the point that divides a line segment into a certain number of segments. The midpoint of a line segment can be determined using this section formula, and it can also be used to derive the midpoint formula.
The formula used to calculate the coordinates of a point on a line segment that divides it into two segments is referred to as the section formula. Let’s imagine that the line segment marked with the coordinates A (x1,y1) and B has a point P(x,y) that splits it ((x2,y2). We employ the section formula, which is mathematically defined as: to determine the coordinates.
P(x, y) = (mx2+nx1) / m+n, my2+ny1 / (m+n)
A line cannot be measured since it has inescapable ends. A line segment can be measured since it has a start point and an end point. Since line segments have a set length, they can be used to represent any polygon’s sides. A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. The section formula is used to determine the coordinates of a point that splits a line segment externally or internally in a certain ratio.
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