Rectangle is shown with vertices at negative 5 comma 1, negative 5 comma 3, negative 1 comma 3, and negative 1 comma 1.

What series of transformations would carry the rectangle onto itself?

(x + 0, y − 4), 180° rotation, reflection over the y-axis
(x + 0, y − 4), 180° rotation, reflection over the x‐axis
(x − 4, y + 0), 90° counterclockwise rotation, reflection over the x‐axis
(x − 4, y + 0), 90° counterclockwise rotation, reflection over the y-axis

1 answer

The correct series of transformations that would carry the rectangle onto itself is:

(x - 4, y + 0), 90° counterclockwise rotation, reflection over the y-axis

This series of transformations would move the rectangle 4 units to the left on the x-axis, rotate it counterclockwise by 90 degrees, and then reflect it over the y-axis, resulting in the same rectangle in a different position.