If the coordinates of the end points are (a,b) and (c,d) then the midpoint is the point whose coordinates are [(a+c)/2, (b+d)/2]
Take a compass, extend it about 3/4 of the length of the segment. Then from one end of the segment, draw a 180 degree arc. From the other end draw another arc. Connect the points where the arcs intersect. Where the line intersects with the segment is the midpoint of the segment. That is how you bisect a segment to find the midpoint - geometrically.
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All bisectors intersect the line segment at the midpoint. There can be multiple bisectors, intersecting at the midpoint at different angles, but they all intersect the line segment at its midpoint. The midpoint separates the line segment into two equal halves.
Perpendicular Bisector
double the length
Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.
Yes, the midpoint of a given line segment must lie on that line segment. The midpoint is defined as the point that is equidistant from both endpoints of the segment, effectively dividing it into two equal parts. Therefore, by definition, the midpoint cannot exist outside of the line segment itself.
You find the midpoint of a line segment by dividing its length by two. If you are given two sets of 'x' and 'y' coordinates as the endpoints of the segment on a graph, then you need to use the formula [X1 plus X2]/2, [Y1 plus Y2]/2 to find the coordinates of the midpoint.
If you are only given one endpoint and a midpoint, you know what the middle of the line segment is. Since the midpoint is half of what the line segment's length is, all you have to do is find the distance between the endpoint given and the midpoint, then add that coordinate to your midpoint and get your other endpoint. For example: Endpoint A: (4,5) Midpoint: (6,8) Distance between: (2,3) Add (2,3) to (6,8) and get Endpoint B: (8,11).
There are only three endpoint given and these are not sufficient to define a segment of a line.
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Use the midpoint calculator to find out the midpoint of a line segment, which is the point that cuts the segment into two equal parts.
To find the midpoint of a line segment with given endpoints ( A(x_1, y_1) ) and ( B(x_2, y_2) ), you can use the midpoint formula: ( M\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) ). This formula averages the x-coordinates and the y-coordinates of the endpoints to determine the coordinates of the midpoint ( M ).
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The 'x' coordinate of the midpoint is the average of the 'x' coordinates of the segment's ends. The 'y' coordinate of the midpoint is the average of the 'y' coordinates of the segment's ends.
To find the midpoint of a segment with endpoints at (-15) and (55), you can use the midpoint formula: ((x_1 + x_2) / 2). Substituting the values, the midpoint is ((-15 + 55) / 2 = 40 / 2 = 20). Therefore, the midpoint of the segment is (20).