The coordinates of the vertices of triangleCDE are C(1, 4), D(3, 6), and E(7, 4). If the triangle is reflected over the line y = 3, what are the coordinates of the image of D?

(1 point)
Responses

(3, –6)
(3, –6)

(3, –3)
(3, –3)

(3, 0)
(3, 0)

(3, 9)

1 answer

To reflect a point over the line y = 3, we need to find the new y-coordinate by subtracting the difference between the original y-coordinate and the line of reflection from the line of reflection.

The line of reflection is y = 3. The original y-coordinate of D is 6. The difference between the original y-coordinate and the line of reflection is 6-3 = 3.

The new y-coordinate of the image of D is 3 - 3 = 0.

The x-coordinate remains the same.

Therefore, the coordinates of the image of D are (3, 0).

The correct answer is (3, 0).