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select the correct answer. point e is the midpoint of \\(\\overline{rv}…

Question

select the correct answer.

point e is the midpoint of \\(\overline{rv}\\). point e is located at (6,-12), and point r is located at (-10,8). where is point v located?

(22,-32)

(-26,28)

(-2,-2)

(-4,-4)

(-16,20)

Explanation:

State the midpoint formulas

$$ x_E = \frac{x_R + x_V}{2}, \quad y_E = \frac{y_R + y_V}{2} $$

Substitute the given coordinates

$$ LATEXBLOCK0 $$

Solve for the coordinates of point V

$$ LATEXBLOCK1 $$

Answer:

  • (22,-32) (Correct answer)
  • (-26,28)
  • (-2,-2)
  • (-4,-4)
  • (-16,20)