Parallelogram ABCD is reflected over the y-axis, followed by a reflection over the x-axis, and then rotated 180 degrees about th
e origin. What is the location of point A after the transformations are complete? Parallelogram ABCD is shown. A is at negative 5, 1. B is at negative 4, 3. C is at negative 1, 3. D is at negative 2, 1. (−5, −1) (5, 1) (−5, 1) (5, −1)
<span>The point A (-5,1) undergo 3 translations which are:
Reflected over the y-axis, x=-x' </span>A (-5,1) ---->A' (-5,-1)<span>
followed by a reflection over the x-axis, </span>y=-y' A (-5,-1) ----> A' (5,-1) <span> and then rotated 180 degrees about the origin x=-x' y=-y' </span>A (5,-1) ----> A' (-5,1)
The point A is return to the original point which is A (-5,1)