The question says: "The midpoint of segment AB is M(7,5). The coordinates of point A are (4,1). Find the coordinates of point B. Explain." Thanks!
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consider a line AB with mid pt D as (7,5).
consider the pt B as (x,y) to be found.
so using mid pt formula of a line segment,
7 = (4+x) / 2
so x = 10
similarly,
5 = (1+y) / 2
so y = 9
so the required pt B is (10,9).....
consider the pt B as (x,y) to be found.
so using mid pt formula of a line segment,
7 = (4+x) / 2
so x = 10
similarly,
5 = (1+y) / 2
so y = 9
so the required pt B is (10,9).....
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Midpoint means the point is exactly in the middle of the line.
Graph it out. Graph paper is your friend! Graph point A and point M. Connect the points with a ruler, and then measure the distance between them. Line your ruler up with the line, and measure the same distance from point M. Where you end is point B!!!
Graph it out. Graph paper is your friend! Graph point A and point M. Connect the points with a ruler, and then measure the distance between them. Line your ruler up with the line, and measure the same distance from point M. Where you end is point B!!!