Square ABCD has vertices A(2,4) , B(2,11) , C(7,11) , and D(7,4) . The square ABCD is reflected on the x -axis and the y -axis. Find the coordinates of the vertices for square A′B′C′D′ . Choose 1 for Option A and 2 for Option B.
1.A′B′C′D′ has vertices A′(−2,−4) , B′(−2,−11) , C′(−7,−11) , and D′(−7,−4) .
2.A′B′C′D′ has vertices A′(2,−4) , B′(2,−11) , C′(7,−11) , and D′(7,−4) .
The reflection on the x-axis will change the sign of the y-coordinates and keep the x-coordinates the same. Therefore, the coordinates of the reflected square A'B'C'D' will be A'(-2, -4), B'(-2, -11), C'(-7, -11), and D'(-7, -4).
The reflection on the y-axis will change the sign of the x-coordinates and keep the y-coordinates the same. Therefore, the coordinates of the reflected square A'B'C'D' will be A'(2, -4), B'(2, -11), C'(7, -11), and D'(7, -4).
So, Option B is correct: A′B′C′D′ has vertices A′(2,−4), B′(2,−11), C′(7,−11), and D′(7,−4).