Composition of Transformation
This composition of transformations is correct because, being rigid motions (reflection and translation), the pre image and image are congruent. The first transformation of the pre image is a reflections over the line y=1x-2. The reflection was preformed correctly because a line drawn between each point and its corresponding point would be a perpendicular bisector of the line of reflection. Corresponding point are also equidistant from the line of reflection. The second transformation is a translation by a vector of 8 units. This was performed accurately because each point on the image was moved in the same direction, the same distance to create the image of the image of the pre image. Lines drawn between corresponding points of the image and the image of the pre image are parallel to the vector that it was translated by.