This composition of transformations shows the pre-image in Quadrant II, an irregular hexagon. This pre-image was then reflected across the line of reflection, the x-axis. This is written as ([i]r y=0)[/i] We know that this is a reflection because each point and it's corresponding point are equidistant from the line of reflection. Then, the image was rotated 135 degrees counterclockwise about the origin. That image is shown in Quadrant I/IV. We know it was a 135 degree rotation because the imaginary angle that exists between a point, the center of rotation, and the corresponding point form a 135 degree angle. This is written as [i]R 135[/i]. So, the composition is written as R [i]135[/i] O r [i]y=0[/i]