To determine the coordinates of the vertex of triangle after it is reflected over a horizontal line of reflection, we must first establish the location of the original vertex before reflection, and identify the line of reflection. However, since we don't have this information, we can't definitively determine which of the provided options corresponds to the coordinates of the vertex after reflection.
If we assume that the coordinate of the vertex before reflection was one of the options and we knew the y-coordinate of the horizontal line of reflection, we could apply the formula for reflecting a point over a horizontal line.
The reflection of a point \( (x, y) \) over a horizontal line \( y = k \) is given by:
- The new point \( (x, y') \) where \( y' = 2k - y \).
If you provide the coordinates of the original vertex and the line of reflection, I can help you find the coordinates of the reflected vertex.
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