Reflect square ABCD with respect to the x -axis and the y -axis. What are the vertices of square A′B′C′D′ ?
To reflect square ABCD with respect to the x-axis, we simply negate the y-coordinates of each vertex. So the new vertices are A'(0, -1), B'(1, -1), C'(1, 0), and D'(0, 0).
To reflect square ABCD with respect to the y-axis, we negate the x-coordinates of each vertex. So the new vertices are A'(-1, 0), B'(-1, 1), C'(0, 1), and D'(0, 0).
Therefore, the vertices of square A'B'C'D' after reflecting with respect to the x-axis and the y-axis are A'(0, -1), B'(1, -1), C'(1, 0), and D'(0, 0) for the reflection with respect to the x-axis, and A'(-1, 0), B'(-1, 1), C'(0, 1), and D'(0, 0) for the reflection with respect to the y-axis.