What are the new coordinates of the figure shown if it is translated 5 units to the right and then reflected over the x-axis?
If the figure is translated 5 units to the right, you would add 5 to the x-coordinates of each point. Then, if the figure is reflected over the x-axis, you would change the sign of the y-coordinates of each point.
Original coordinates:
A (1, 2)
B (1, 5)
C (4, 5)
D (4, 2)
After translating 5 units to the right:
A' (6, 2)
B' (6, 5)
C' (9, 5)
D' (9, 2)
After reflecting over the x-axis:
A'' (6, -2)
B'' (6, -5)
C'' (9, -5)
D'' (9, -2)
Therefore, the new coordinates of the figure after being translated 5 units to the right and then reflected over the x-axis are:
A'' (6, -2)
B'' (6, -5)
C'' (9, -5)
D'' (9, -2)