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?Quadrilateral WXYZ is rotated 90º counterclockwise about the originQuadrilateral WXYZ is rotated 90º clockwise about the originQuadrilateral WXYZ is rotated 180º about the originQuadrilateral WXYZ is rotated 45º about the origin

Answer 1

(A)Quadrilateral WXYZ is rotated 90º counterclockwise about the origin

Step-by-step explanation:

When a point (x,y) is rotated 90 degrees counterclockwise about the origin, the transformation rule is:

`(x,y)\rightarrow(-y,x)`

Rotating W(3,6) 90 degrees counterclockwise about the origin, we have the image W'(-6,3).

Therefore, Quadrilateral WXYZ is rotated 90º counterclockwise about the origin to obtain W'X'Y'Z'.

The correct choice is A.