The coordinates of points S and T are S(4,6) and T(10,2). If M is the midpoint of ST, find the midpoint of SM.
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The midpoint of (a,b) and (c,d) is
(average of a and c, average of b and d)
or
((a+c)/2 , (b+d)/2)
(average of a and c, average of b and d)
or
((a+c)/2 , (b+d)/2)
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The coordinates of the midpoint of a line segment are the averages of the coordinates of the endpoints.
M = [(4+10)/2, (6+2)/2] = (7, 4)
Midpoint of SM = [(4+7)/2, (6+4)/2] = (11/2, 5)
M = [(4+10)/2, (6+2)/2] = (7, 4)
Midpoint of SM = [(4+7)/2, (6+4)/2] = (11/2, 5)
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x coord (1/2)*(4 + 10)
y coord (1/2)*(6 + 2)
ie (7,4) <<<
y coord (1/2)*(6 + 2)
ie (7,4) <<<
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The coordinates of SM are (5.5, 5).