Answer:
the coordinates of point S are (12, -16).
Explanation:
Let the coordinates of point S be (x, y).
To find the coordinates of point S, we can use the midpoint formula:
Midpoint formula: [(x₁ + x₂)/2, (y₁ + y₂)/2]
Substituting the given values into the midpoint formula, we have:
(6, -6) = [(0 + x)/2, (4 + y)/2]
Simplifying the equation, we get:
(6, -6) = (x/2, (4 + y)/2)
Multiplying both sides by 2, we have:
(12, -12) = (x, 4 + y)
Comparing the x-coordinates, we have:
12 = x
Comparing the y-coordinates, we have:
-12 = 4 + y
Solving for y, we have:
y = -12 - 4
y = -16
Therefore, the coordinates of point S are (12, -16).