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.
Option A: Square A'B'C'D' has vertices A'(-2,-4), B'(-2,-11), C'(-7,-11) , and D'(-7,-4).
Option B: Square A'B'C'D' has vertices A'(2,-4), B'(2,-11), C'(7,-11) , and D'(7,-4). (1 point)
The correct answer is Option A: Square A'B'C'D' has vertices A'(-2,-4), B'(-2,-11), C'(-7,-11), and D'(-7,-4).
When a square is reflected on the x-axis, the x-coordinates of its vertices remain the same, while the y-coordinates change sign.
When a square is reflected on the y-axis, the y-coordinates of its vertices remain the same, while the x-coordinates change sign.
So, in this case, the x-coordinates of the vertices will remain the same, and the y-coordinates will be negated.
Therefore, the coordinates of the reflected square A'B'C'D' are:
A'(-2,-4), B'(-2,-11), C'(-7,-11), and D'(-7,-4).