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Point A is located at ( h , k ). Point B is located at ( h , j ). M is the midpoint of segment AB . Determine the coordinates of point M .

Respuesta :

Answer:

Step-by-step explanation:

The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as;

M(X,Y) = {(x1+x2)/2, (y1+y2)/2}

Given the points A(h, k) and B(h,j)

x1 = h, y1 = k, x2 = h, y2 = j

Substitute into the formula;

M(X,Y) = {(x1+x2)/2, (y1+y2)/2}

M(X,Y) = {(h+h/2, (k+j)/2}

M(X,Y) = {(2h)/2, (k+j)/2}

M(X,Y) = {h, k+j/2}

hence the coordinates of point M is {h, k+j/2}