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?

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).

The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).

the location of point A after the transformations are complete is (-5, 1)

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step-by-step explanation: