Answer: coordinates of point C are (0, 6)
Explanation:
To find the coordinates of point C, you can use the midpoint formula in reverse. The midpoint formula is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
You already have the midpoint, which is (5, 4), and the coordinates of point D, which is (10, 2). Let's call the coordinates of point C (xC, yC).
Plugging the values into the formula:
Midpoint = ((xC + 10) / 2, (yC + 2) / 2)
(5, 4) = ((xC + 10) / 2, (yC + 2) / 2)
Now, you can solve for xC and yC. Start with the x-coordinate:
5 = (xC + 10) / 2
Multiply both sides by 2 to isolate xC:
10 = xC + 10
Now, subtract 10 from both sides to find xC:
xC = 10 - 10
xC = 0
Now, find the y-coordinate using the same approach:
4 = (yC + 2) / 2
Multiply both sides by 2 to isolate yC:
8 = yC + 2
Subtract 2 from both sides to find yC:
yC = 8 - 2
yC = 6
So, the coordinates of point C are (0, 6).
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