Question

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)
• a dilation
• a 180-degree rotation
• a 90-degree rotation
• a reflection

Answer 1

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

When you reflect an image over the x-axis, each point (x, y) becomes (x, -y). Then reflecting that result over the y-axis changes (x, -y) to (-x, -y). This is equivalent to rotating the original image 180 degrees about the origin.

Therefore, the correct answer is:
• a 180-degree rotation.