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)

Question

Responses

a 180-degree rotation
a 180-degree rotation

a 90-degree rotation
a 90-degree rotation

a reflection
a reflection

a dilation

Answer 1

The transformation that would result in the same image as a composition of reflections across the x-axis and then the y-axis is a 180-degree rotation.

When you reflect a point across the x-axis and then the y-axis, the point's coordinates change as follows:

1. Reflection across the x-axis: (x, y) becomes (x, -y)
2. Reflection across the y-axis: (x, -y) becomes (-x, -y)

This is equivalent to rotating the point 180 degrees around the origin, which would also transform the point from (x, y) to (-x, -y).

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