Trapezoid abcd is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. what is the location of point a after the transformations are complete? . . (5, -1). (-5, -1). (5, 1). (-5, 1)

Here's what happens after rotating 180 degrees, starting from the second quadrant and ends in the fourth  quadrant.
original position of a is (-5, 1).

first rotation.
the trapezoid is at the first quadrant.
the location of point a is at (5,1).

second rotation.
the trapezoid is at the the fourth quadrant.
the location of point a is at (5, -1).

so, the correct answer is (5, -1).

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