Question

The vertices of quadrilateral HIJK are H(2, 2), (-2, 2), J(-2,-2), and K(2,-2). Find the coordinates of the image of quadrilateral HIJK after a rotation of 180 degrees about the origin, a translation using the rule (x, y) (X + 2, Y + 2), and a reflection over the x-axis.

Answer 1

The first image is the original graph

The second image is the answer

With the 180 degrees rotation, it only rotates, but it does nor move

With the (x+2, y +2) transformation, it moves 2 units on the X axis and 2 units on the Y axis

The final points would be H'(0,0), I'(4, 0), J'(4,4), K'(0,4)