Use the image to answer the question.

Question

Use the image to answer the question.

A horizontal line separates 2 triangles. The triangle above the line is made up of points upper X, upper Y, and upper Z, while the triangle below the line is made up of points upper X prime, upper Y prime, and upper Z prime.

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

(−2,−2)
left parenthesis negative 2 comma negative 2 right parenthesis

(−3,−7)

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To find the coordinates of vertex \( X' \) after reflecting point \( X \) over a horizontal line of reflection, we follow these steps:

Identify the original coordinates of point \( X \).
Determine the equation of the horizontal line over which the reflection occurs.
Use the formula for reflecting a point over a horizontal line.

Without the specific coordinates of point \( X \) or the line of reflection provided, we cannot determine the exact coordinates of \( X' \). However, assuming we have point \( X \) reflected perfectly across a horizontal line, the y-coordinate of the reflected point \( X' \) will be the same distance from that line as \( X \) but on the opposite side.

If we apply this reasoning to the given answers, we need to check if one of the options represents a proper reflection.

Please clarify the coordinates of \( X \) and the line of reflection to help narrow it down to one of the provided responses.