Question

A sequence of a reflection across the x axis and then a reflection across the y axis always/ sometimes/ never results in a 180 rotation of the preimage

Answer 1

A sequence of reflections across the x-axis and then the y-axis always results in a 180° rotation of the preimage.

Step-by-step explanation:

The question asks whether a sequence of a reflection across the x-axis followed by a reflection across the y-axis results in a 180° rotation of the preimage. When we perform these two reflections successively on a point or figure, the first reflection across the x-axis flips the figure over the x-axis, and the second reflection across the y-axis flips it over the y-axis. This two-step transformation is effectively the same as rotating the point or figure 180° about the origin. Therefore, the correct answer is that it always results in a 180° rotation of the preimage.