composition 1

composition

transformation

A composition is a series of steps of transformations. In this composition first i reflected my pre-image about the y-axis. From there i rotated it 45 degrees counterclockwise about center point D. Lastly I reflected the rotated image about the x-axis. I know all of these steps happened because, during the reflection over the x and y-axis the line of reflection is equidistant from the figure and its reflection. Also the line f reflection forms a 90 degree angle with any segment connecting any point on the pre-image with the image. I know that the 45 degree rotation is a 45 degree rotation because each vertex has the same degree and direction around the center of rotation.