What is a Line Segment What is a Line Segment A line is formed by joining collinear points together in a sequence. We say that the line goes endlessly in both the directions and it has no end point. Thus we say that the line cannot be drawn on the plane as it does not have any end points and the fixed length. Now we will talk about What is a Line Segment. A line segment is said to be the part of the line. We say that the line segment can be drawn on the plane or on the paper as it has the fixed length. Also we know that the line segment has the starting and the ending point from which it starts and where it ends. The length of the line segment can be measured and it is always drawn in straight line that a polygon can be drawn by using 3 or more line segments, which forms a closed figure. If we draw a line segment, we say that it has 2 end points. If we have two points say P and Q, then by joining the two point’s p, Q a line segment is formed; we name the line segment as line segment PQ. It is shown as follows:
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P .............................................. Q Here we observe that P is the starting point and Q is the end point of the line segment PQ.A line segment can be drawn in any direction and it is always straight. We must remember that different closed and open figures can be drawn by using the different line segments. Also we say that if we have three line segments joined end to end, we say that the line closed curve so formed is called a triangle, which has the fixed length of each line segment. Now let us see that how many line segments can be drawn using the single point. We say it is infinite in number. Now let us see that how many line segments can be drawn using two points. We find that only one line segment can be drawn with two different points. Now let us see that how many line segments can be drawn using 3 different points. With three points, we can draw three line segments and the curve so formed by these line segments is a closed curve. We call this closed curve as a triangle. If the figure has four line segments, it forms a quadrilateral. These line segments can be of same length or even of the different length. If the quadrilateral is formed same measure, which has all the line segments of the same measure, we call such figure as a square. Now we take the quadrilateral formed by joining the line segments such that the pair of opposite line segments is of equal measure. Such quadrilateral is called a parallelogram. If all the angles formed by the adjacent line segments of the quadrilateral are equal, i.e. All angles are of a measure of 90 degrees then such quadrilateral is called as a rectangle. So we say that the rectangle is a special type of parallelogram which has all the angles equal to 90 degree.
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If we find the midpoint of a line, then we have some formula and properties which are: The formula for finding the midpoint of a line segment is: If we have the coordinates (x1, y1) and (x2, y2) then the formula is: = (x1 + x2, y1 + y2), 2 Now will see it with the help of example: Example: Find the midpoint of a line segment whose endpoints are (9, 10) and (5, -9)? Solution: We know that the formula for finding the mid points of a line segment. = (x1 + x2, y1 + y2) 2 2 Given, the coordinate value of (x1, y1) and (x2, y2), And the values of these coordinates are: x1 = 9; x2 = 5; y1 = 10; y2 = -9 Now putting these coordinates in the given formula: = (9 + 5, 10 –9), 2 = (14, 1), 2 = 7 and 0.2 The midpoint of a line segment is 7 and 0.2
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