Final answer:
To find the coordinates of point B' after a 90 degree clockwise rotation about the origin, switch the x and y coordinates of B and negate the new x coordinate. The coordinates of B' will be (-3,-2).
Step-by-step explanation:
When quadrilateral ABCD is rotated 90 degrees clockwise about the origin, point B will move to a new position, which we'll call B'. To find the coordinates of B', we need to use the rotation rules.
To rotate a point 90 degrees clockwise about the origin, we switch the x and y coordinates and then negate the new x coordinate. So, the coordinates of B' will be (-3,-2), which corresponds to option A.