Graph the image of U(5, -2) after a reflection over the line y = 3.
A) (5, 8)
B) (5, -8)
C) (5, 1)
D) (5, 4)
Graph the image of U(5, -2) after a reflection over the line y = 3.
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Graph the image of U(5, -2) after a reflection over the line y = 3.
A) (5, 8)
B) (5, -8)
C) (5, 1)
D) (5, 4)
To reflect the point U(5, -2) over the line y = 3, follow these steps:
1. Determine the distance between the point and the line: The y-coordinate of point U is -2, and the line is at y = 3. The distance from U to the line is 3 – (-2) = 5 units.
2. Calculate the reflected point: To find the reflected point, move the same distance up from the line. So, starting from y = 3 and moving up 5 units gives you y = 3 + 5 = 8.
3. The x-coordinate remains the same: Since the reflection is over a horizontal line, the x-coordinate will not change, remaining at 5.
Therefore, the image of U(5, -2) after reflection over the line y = 3 is (5, 8).
The correct answer is A) (5, 8).