Question

Quadrilateral WXYZ is located at W(3, 6), X(5, -10), Y(-2, -4), Z(-4, 8). A rotation of the quadrilateral is located at W’(-6, 3), X’(10, 5), Y’(4, -2), Z’(-8, -4). How is the quadrilateral transformed?

Answer 1

90° counterclockwise rotation about the origin

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}`

The new coordinates are those of W'X'Y'Z'.

The quadrilateral is rotated 90° counterclockwise about the origin.