The figure shows rectangle PQRS in the first quadrant of a coordinate plane.

Diagram of rectangle PQRS in the first quadrant of a coordinate plane. Rectangle PQRS has vertices at point P, x subscript one, y subscript one; point Q, x subscript one, y subscript two; point R, x subscript two, y subscript two; point S, x subscript two, y subscript one.

Rectangle PQRS is reflected across the x-axis. The image is P′Q′R′S′. Which two further transformations will carry rectangle P′Q′R′S′ back onto rectangle PQRS?


reflection across the y-axis followed by a reflection across the x-axis
reflection across the , y, -axis followed by a reflection across the , x, -axis

reflection across the y-axis followed by a reflection across the line with equation y = x
reflection across the , y, -axis followed by a reflection across the line with equation y = x

reflection across the y-axis followed by a 180° rotation around the origin
reflection across the , y, -axis followed by a 180° rotation around the origin

reflection across the line with equation y = x followed by a 180° rotation around the origin
reflection across the line with equation y = x followed by a 180° rotation around the origin