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Can anyone by chance know how to do these geometry questions?

Can anyone by chance know how to do these geometry questions?-example-1
Can anyone by chance know how to do these geometry questions?-example-1
Can anyone by chance know how to do these geometry questions?-example-2
User Sagi Rika
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2 Answers

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my screen shows black pages there isn’t anything there for me?
User Eridanix
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5 votes

Answer:

G is equal to (8, -11)

Explanation:

We are given the midpoint and one end of the line segment. We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:


G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11

So the coordinates of endpoint G are (8, -11)

User Mike Ma
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