Asked by Christian
The coordinates of point T are given. The midpoint of segment ST is (5, -8). Find the coordinates of
point S.
1. T(0,4)
2.T(-2,8)
point S.
1. T(0,4)
2.T(-2,8)
Answers
Answered by
oobleck
The midpoint M = (S+T)/2 in both x and y coordinates. So
#1. (S+(0,4))/2 = (5,-8)
S+(0,4) = (10,-16)
S = (10,-16)-(0,4) = (10,-20)
or,
S is as far from M as T is, but in the opposite direction
0 = 5-5, so you want 5+5=10
4 = -8+12, so you want -8-12 = -20
#1. (S+(0,4))/2 = (5,-8)
S+(0,4) = (10,-16)
S = (10,-16)-(0,4) = (10,-20)
or,
S is as far from M as T is, but in the opposite direction
0 = 5-5, so you want 5+5=10
4 = -8+12, so you want -8-12 = -20
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