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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.

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