Use the image to answer the question.

Question

A quadrilateral is plotted on a coordinate plane with both the axes ranging from negative 10 to 10.

Imagine a 90°
(counterclockwise) rotation about the origin of the figure in the image. Select the coordinate of D′
.

(1 point)
Responses

(4,−8)
left parenthesis 4 comma negative 8 right parenthesis

(8,4)
left parenthesis 8 comma 4 right parenthesis

(−8,4)
left parenthesis negative 8 comma 4 right parenthesis

(8,−4)

Answer 1

To perform a 90° counterclockwise rotation about the origin, you can use the following transformation for the coordinates of a point (x, y):

• The new coordinates after rotation will be (-y, x).

Assuming point D has coordinates (x_D, y_D), after the rotation the new coordinates D′ will be:

• D′ = (-y_D, x_D)

Since I'm unable to see the actual coordinates of point D in the quadrilateral, please check the coordinates of point D and apply the transformation above to determine the new coordinates D′, then select the correct response.

If you provide the coordinates of point D, I can help you find D′ specifically.