Question

Triangle XYZ is reflected over a horizontal line of reflection to create triangle X′Y′Z′ . What are the coordinates of vertex X′ ?

A. (-3,-7)
B. (3,-9)
C. (-3, -9)
D. (-2, -2)

Answer 1

To find the coordinates of the vertex \( X' \) after triangle \( XYZ \) is reflected over a horizontal line, we need to know the original coordinates of vertex \( X \) and the equation of the horizontal line of reflection.

Assuming the original coordinates of vertex \( X \) are \( (x, y) \) and the horizontal line of reflection is given by \( y = k \), the reflected coordinates \( X' \) will be given by the formula:

\[
X' = (x, 2k - y)
\]

Without the original coordinates of vertex \( X \) or the specific horizontal line of reflection, we cannot determine the resulting coordinates for \( X' \).

If you provide the coordinates of vertex \( X \) and the equation of the horizontal line of reflection, I would be able to calculate the coordinates of \( X' \) for you.