Reflect Rectangle ABCD below with respect to the x-axis and then the y-axis. What would the vertices of the new rectangle A'B'C'D' be ?

Answer 1

To reflect rectangle ABCD with respect to the x-axis, we simply flip the rectangle across the x-axis. The y-coordinates of each vertex will remain the same, but the sign will change.

So, the new vertices after reflecting across the x-axis would be:
A' = (0, -4)
B' = (2, -4)
C' = (2, 0)
D' = (0, 0)

Now, to reflect this new rectangle A'B'C'D' with respect to the y-axis, we flip the rectangle across the y-axis. The x-coordinates of each vertex will remain the same, but the sign will change.

So, the final vertices after reflecting across both axes would be:
A' = (0, 4)
B' = (-2, 4)
C' = (-2, 0)
D' = (0, 0)