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previous answer was wrong!

A) reflection in the line $x=−1$ B) reflection in the $x$-axis C) reflection in the line $y=−1$ D) rotation of $270_{∘}$ counterclockwise about point $R$ E) $(x,y)→(−x,−y)$ F) reflection in the $y$-axis G) $(x,y)→(y,x)$

A square has 4 sides of equal length and 4 right angles.

A reflection in the y-axis or in the line x=-1 or in the line y=-1 will not map PQRS onto itself because a reflection reverses the orientation of the square.