Recall that a rotation of 180 degrees around the origin transforms the coordinates following the rule:
(x, y) --> (-x, -y)
and also recall that a reflection across the y-axis will convert the following:
(x, y) --> (-x, y)
Therefore, we cansider the succession of transformations given as:
(x, y) --> (-x, -y) --> (x, -y) (since the y value stays the same in the reflection around the y axis, but the x changes to its opposite)
Then, this transformation (from beginning to end)
(x, y) --> (x, -y) is equivalent to a reflection around the x-axis (which keeps the x coordinate intact and flips the y-coordinate to its opposite. So, please select the option that reads: Reflection around the x-axis.