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.
To reflect a point over the x-axis, we simply negate the y-coordinate. Similarly, to reflect a point over the y-axis, we negate the x-coordinate.
For square ABCD, the x-axis reflection reflects A(2,4) to A'(2,-4), B(2,11) to B'(2,-11), C(7,11) to C'(7,-11), and D(7,4) to D'(7,-4).
For square ABCD, the y-axis reflection reflects A(2,4) to A'(-2,4), B(2,11) to B'(-2,11), C(7,11) to C'(-7,11), and D(7,4) to D'(-7,4).
So the coordinates for square A'B'C'D' are A'(2,-4), B'(2,-11), C'(7,-11), and D'(7,-4).
Therefore, the answer is 2.