To graph: The line segment AB where coordinates of the point A are . Also the point is the mid-point of the line segment and compute the coordinate of the point B .
AB is a line point and M is mid-point of the line segment.
Plot the points and on the coordinate plane.
Let the coordinates of the point B be .
Recall that the midpoint of the segment that joins two points in the Cartesian plane is denoted by .
Now, is the mid-point of the line segment joined by the points and .
Equate the x -coordinate of each bracket,
Equate the y -coordinate of each bracket,
Therefore, coordinates of the point B are .
Now, plot the points , and on the coordinate plane.
As the point is the midpoint of the line segment joined by the point and , it is observed that the distance point the points and is same as the distance between the points and .
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