What would the transformation be for this figure and what does the transformation result in a figure that is congruent to the original?

Solution
Transform figure using the rule (x , y) = (-x , y - 8)
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
[tex](x_1,y_1)-->(-x_1,y_1-8)[/tex]