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 the x-axis 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,−9)
left parenthesis 3 comma negative 9 right parenthesis

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

(−3,−7)

To reflect a point over the x-axis, we keep the x-coordinate the same, but change the sign of the y-coordinate.

The coordinate of point X is (-2,-2).

Reflecting it over the x-axis, the y-coordinate becomes positive. Hence, the coordinates of point X' are (-2, 2).

Therefore, the correct answer is (−2, 2).

To reflect a point over the x-axis, we keep the x-coordinate the same but negate the y-coordinate. The x-coordinate of vertex X is -2. Therefore, the coordinates of vertex X' are (-2, -(-2)) which simplifies to (-2, 2). So, the correct answer is option C: (-2, -2).