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REY [17]
3 years ago
5

Find the coordinates of G if F(2,5) is the midpoint of line GJ and J and has coordinates (-2,8)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

G(6,2)

Step-by-step explanation:

If point F(x_F,y_F) is the midpoint of the segment GJ, where G(x_G,y_G) and J(x_J,y_J), then

x_F=\dfrac{x_G+x_J}{2},\\ \\y_F=\dfrac{y_G+y_J}{2}.

In your case,

F(2,5),\ J(-2,8),

therefore,

2=\dfrac{x_G+(-2)}{2},\\ \\5=\dfrac{y_G+8}{2}.

Thus,

x_G-2=4\Rightarrow x_G=6,\\ \\y_G+8=10\Rightarrow y_G=2.

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