What is a Line Segment What is a Line Segment What is a Line Segment ? A Line segment in geometry is a line part which is bounded by two end points and its every point are in between those end points only. Examples of Line segment are sides of a rectangle and sides of a triangle. There are two types of line segment open and closed line segment. The two end points of the line segment are used to name the segment .The word segment from line segment means a piece from something. It is a one dimensional figure and width is zero but length is measurable It has definite end points and cannot be extended; this is a biggest difference in a line and line segment Properties of line segment 1. It is a non empty set and is connected too 2. Line segment comes in the category of ordered geometry
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Line segment intersection: This is used to find about line segments whether they cross or intersect each other .This is determined with the help of sweep line algorithm Types of line segments: 1. Equal line segment: These types of line segments are those which overlap each other 2. Consecutive line segments: These are those line segments which have common end points 3. Aligned line segments: They are those line segments which belong to same line Line segments operations: 1. Addition of line segments: When we add two line segments it result in formulation of one more line segment and starting point of this new line segment is starting point of first line segment and end point is end point of second line segment 2. Subtraction of Line segments: When we subtract two line segments it result in formulation of one more line segment which is subtraction of two line segments 3. Multiplication of a line segment with a number: When we multiply any line segment with a number the result will be the repeat ion of segment the number times it is multiply to form a new segment 4. Division of a line segment into two parts: For division of any line segment we have to draw a ray having the same origin with line segment Divide ray into equal parts from the origin. For the division make the lines parallel to the line segment Lines segments end point are used to calculate the midpoint formula of the line segment. We have to simply use the x and y coordinates and take their average for the calculation of the midpoint. This is used to find the point which bisects the line segment into two equal parts
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Understand this Concept with the help of this illustration .Suppose a line segment AB is having x coordinates (6,4) and y coordinates (3,2).we have to Find the midpoint of this line segment .So apply the midpoint formula which is Midpoint Coordinates = (x1+x2)/2, (y1+y2)/2 Midpoint Coordinates = (6+4)/2, (3+2)/2 Midpoint Coordinates = (5, 2.5) Example1: a line segment XY is having x coordinates (7,3) and y coordinates (10,2).we have to Find the midpoint of this line segment . Solution: Apply the midpoint formula which is Midpoint Coordinates = (x1+x2)/2, (y1+y2)/2 Midpoint Coordinates = (7+3)/2, (2+10)/2 Midpoint Coordinates = (5, 6)
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