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The coordinates of the midpoint of GH¯¯¯¯¯¯¯¯are M(−2, 5) and the coordinates of one endpoint are H(−3, 7) .

The coordinates of the other endpoint are ( __ , __ )

Respuesta :

texaschic101
m = (x1 + x2)/2 , (y1 + y2)/2

(-3 + x) / 2 = -2
-3 + x = -4
x = -4 + 3
x = -1

(7 + y) / 2 = 5
7 + y = 10
y = 10 - 7
y = 3

so the other endpoint is (-1,3)
onyebuchinnaji

The coordinate point of the other endpoint, G is (-1, 3)

The given parameters;

the midpoint = M(-2, 5)

one end point = H(-3,7)

To find:

  • the coordinate point of the other endpoint, G

Let the coordinate point of the other endpoint = G(x, y)

The coordinate point of the other endpoint, G will be calculated using midpoint formula.

[tex]M(-2, 5) =( \frac{x + (-3)}{2} , \frac{y + 7}{2} )\\\\-2 = \frac{x - 3}{2} \ \ \ and \ \ 5 = \frac{y+ 7}{2} \\\\x-3 = 2(-2)\\\\x - 3 = -4\\\\x = -4 + 3\\\\x = -1\\\\y+ 7 = 2(5)\\\\y + 7 = 10\\\\y = 10 -7\\\\y = 3\\\\G= (-1, 3)[/tex]

Thus, the coordinate point of the other endpoint, G is (-1, 3)

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