braxtonstouder9
braxtonstouder9 braxtonstouder9
  • 10-09-2020
  • Mathematics
contestada

The coordinates of the midpoint of GH are M (8,0) and the coordinates of one endpoint are H(-2, 9). The coordinates of the other endpoint are​

Respuesta :

Muscardinus Muscardinus
  • 18-09-2020

Answer:

G(18,-9)

Step-by-step explanation:

The coordinates of the midpoint of GH are M (8,0) and the coordinates of one endpoint are H(-2, 9). We need to find the coordinates of G. Let G is (x,y).It can be done using mid point formula i.e. [tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

So,

[tex]8=\dfrac{x-2}{2}\ \text{and}\ 0=\dfrac{9+y}{2}\\\\16=x-2\ \text{and}\ y=-9\\\\x=18\ \text{and}\ y=-9[/tex]

Hence, the coordinates of the other point is (18,-9).

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