Triangle XYZ is reflected over a horizontal line of reflection to create triangle X′Y′Z′ . What are the coordinates of vertex X′ ? (1 point) Responses (3,−9) left parenthesis 3 comma negative 9 right parenthesis (−3,−9) left parenthesis negative 3 comma negative 9 right parenthesis (−3,−7) left parenthesis negative 3 comma negative 7 right parenthesis (−2,−2) left parenthesis negative 2 comma negative 2 right parenthesis Skip to navigation page 19 of 19

Answer 1

To determine the coordinates of vertex \( X' \) after reflecting vertex \( X \) over a horizontal line, we need the original coordinates of \( X \) and the y-coordinate of the horizontal line of reflection.

The reflection formula over a horizontal line of reflection can be expressed as follows:

• If a point \( (x, y) \) is reflected over the line \( y = k \), the reflected point \( (x', y') \) will have the same x-coordinate and the y-coordinate will be adjusted as follows: \[ y' = 2k - y \]

Without the specific coordinates of vertex \( X \) and the line of reflection, it is impossible to provide the exact coordinates of \( X' \). However, given the listed choices, if we assume a scenario where we do know these values, we would use the formula accordingly.

If you have the original coordinates of vertex \( X \) or the y-coordinate of the line of reflection, please provide those, and I can help calculate the coordinates of \( X' \). Otherwise, from the options you provided, you would need to verify with the original triangle's coordinates and the particular line of reflection to find the correct match.