The Top of the World Restaurant in Las Vegas, Nevada, revolves 360° in 1 hour
and 20 minutes. A piano that is 38 feet
from the center of the restaurant starts at
position (38, 0). What are the coordinates
of the piano after 15 minutes? Round
coordinates to the nearest tenth if
necessary.
A (0, 38)
B(-38, 0)
C(14.5, 35.1)
D (35.1, 14.5)

Translate ABCDE left 4 units and down 2 units.

Step-by-step explanation:

The rule of rotation 90° counterclockwise: (x, y) →(–y, x)

The rule of translation left 4 units and down 2 units: (x, y) →(x-4 , y-2)

The rule of reflection over the x‐axis: (x, y) →(x, –y)

The rule of rotation 90° clockwise: (x, y) →(y, –x)

From the figure: A at (2,4)  and D at (1,2)

The polygon is transformed so that the image of A' is at (−2, 2) and the image of D' is at (−3, 0)

By choosing which of the previous rules is suitable to find the required.

So, the suitable transformation is Translate ABCDE left 4 units and down 2 units.