Answer:
90° counterclockwise rotation about the origin
Step-by-step explanation:
Point W appears to be rotated 90° counterclockwise from the first quadrant to the second.
The quadrilateral may be rotated 90° counterclockwise about the origin.
If that's the case, the coordinates (x, y) have become ( -y, x).
Let's check if this is the correct transformation.
![\begin{array}{ccc}\textbf{Point} & \mathbf{(x, y)} & \mathbf{(-y, x)}\\W & (3, 6) & (-6, 3)\\X & (5, -10) & (10, 5)\\Y & (-2, -4) & (4, -2)\\Z & (-4, -8)& (8,-4)\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccc%7D%5Ctextbf%7BPoint%7D%20%26%20%5Cmathbf%7B%28x%2C%20y%29%7D%20%26%20%5Cmathbf%7B%28-y%2C%20x%29%7D%5C%5CW%20%26%20%283%2C%206%29%20%26%20%28-6%2C%203%29%5C%5CX%20%26%20%285%2C%20-10%29%20%26%20%2810%2C%205%29%5C%5CY%20%26%20%28-2%2C%20-4%29%20%26%20%284%2C%20-2%29%5C%5CZ%20%26%20%28-4%2C%20-8%29%26%20%288%2C-4%29%5C%5C%5Cend%7Barray%7D)
The new coordinates are those of W'X'Y'Z'.
The quadrilateral is rotated 90° counterclockwise about the origin.