Which transformation would result in the same image as a composition transformation of reflections across the x-axis and then the y-axis?(1 point) Responses a 90-degree rotation a 90-degree rotation a 180-degree rotation a 180-degree rotation a reflection a reflection a dilation

Answer 1

The composition transformation of reflections across the x-axis and then the y-axis results in a 180-degree rotation about the origin.

Here’s why:

• Reflecting across the x-axis changes the sign of the y-coordinates (from (x, y) to (x, -y)).
• Reflecting across the y-axis changes the sign of the x-coordinates (from (x, -y) to (-x, -y)).
• Therefore, the final result is a point with coordinates (-x, -y), which is equivalent to rotating the point 180 degrees around the origin.

So, the correct response is a 180-degree rotation.