Question

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 negative 3 comma negative 9 right parenthesis (−3,−7) left parenthesis negative 3 comma negative 7 right parenthesis (3,−9) left parenthesis 3 comma negative 9 right parenthesis (−2,−2)

Answer 1

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

Let's denote the coordinates of vertex \( X \) as \( (x, y) \).
When reflecting over a horizontal line, the x-coordinate remains the same, while the y-coordinate transforms based on the line of reflection.

If we know the y-coordinate of the line of reflection is \( k \), the reflection of point \( (x, y) \) is given by:
- \( X' = (x, 2k - y) \)

Without the specific coordinates of \( X \) or the line of reflection, we can only provide the response based on the context provided. Thus:

- If we assume \( X \) was at \( (x, y) \) and we don't know \( k \), it's impossible to solve for \( X' \) without knowing either the specific coordinates of \( X \) or the line of reflection.

Therefore, please provide the coordinates of vertex \( X \) and the line of reflection for a proper evaluation or check through given options based on the context of reflection.