Reflect square ABCD with respect to the x-axis and y- axis. What are the vertices of A'B'C'D'?
To reflect square ABCD with respect to the x-axis, we keep the x-coordinates of the original vertices the same and change the sign of the y-coordinates.
Square ABCD has vertices A(1,1), B(4,1), C(4,4), and D(1,4).
When reflected across the x-axis:
- A(1,-1)
- B(4,-1)
- C(4,-4)
- D(1,-4)
To reflect square ABCD with respect to the y-axis, we keep the y-coordinates of the original vertices the same and change the sign of the x-coordinates.
When reflected across the y-axis:
- A(-1,1)
- B(-4,1)
- C(-4,4)
- D(-1,4)
Therefore, the vertices of the reflected square A'B'C'D' are A'(1,-1), B'(4,-1), C'(4,-4), and D'(1,-4) when reflected across the x-axis, and A'(-1,1), B'(-4,1), C'(-4,4), and D'(-1,4) when reflected across the y-axis.