The coordinates of the H are H(-260,-11).
According to the statement
we have given that the mid point value GH are (−132,−6) and the coordinates of one endpoint are G(−4, 1). and we have to find that the coordinates of H.
So, For this purpose, we know that the
Midpoint formula is a mathematical equation that is used to locate the halfway point between two data points.
So, The given points are:
GH(−132,−6) and the G(−4, 1).
The midpoint of the GH are
[tex]GH = (\frac{x_{1} +x_{2}}{2} , \frac{y_{1} + y_{2} }{2} )[/tex]
Substitute the values in it then
[tex](-132,-6) = (\frac{-4 +x_{2}}{2} , \frac{1 + y_{2} }{2} )[/tex]
now compare it then
-4+x/2 = -132 and 1+y/2 = -6
x -4 = -264 and 1+y = -12
x = -260 and y = -11.
So, The coordinates of the H are H(-260,-11).
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