If trapezoid ABCD was reflected over the y-axis reflected over the x-axis and rotated 180 and deg where would point A' lie?

To find the location of point A' after reflecting trapezoid ABCD over the y-axis, then the x-axis, and finally rotating it 180 degrees, we start by reflecting point A across the y-axis, changing its x-coordinate to its negative. Next, reflecting that point across the x-axis changes its y-coordinate to its negative. Finally, rotating the point 180 degrees around the origin will negate both coordinates. Therefore, if point A is at (x, y), point A' will be at (-x, -y).