Question

Identify the transformation that maps the figure onto itself. A) rotate 180° clockwise about (5, 5) and reflect across the line y = 5 B) rotate 180° clockwise about (6, -7) and reflect across the line x = 5 C) rotate 180° clockwise about (5, 5) and reflect across the line y = -7 D) rotate 180° clockwise about (6, -7) and reflect across the line y = -7

Answer 1

It should be D.
Because (6,-7) is the center of the rectangle, when you turn 180 around it maps onto itself.
y=-7 is the line which cuts the rectangle in the middle or its axis of symmetry. When you reflect across the AoS it maps onto itself again.