A sequence of rigid motions and dilations that maps triangle AED onto triangle ABC is a reflection over the line AC and a dilation by a scale factor of 2.
In Mathematics and Geometry, a reflection is a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Mathematics and Geometry, a scale factor can be calculated through the division of the side length of the image by the side length of the original or actual geometric figure (pre-image):
Scale factor = side length of image/side length of pre-image
Scale factor = 8/4 = 6/3 = 4/2
Scale factor = 2