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

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

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

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

(8,−4)

Answer 1

To find the coordinates of \( D' \) after a 90° counterclockwise rotation about the origin, we can use the following transformation:

If the original coordinate of point \( D \) is \( (x, y) \), then after a 90° counterclockwise rotation, the new coordinates \( (x', y') \) will be:

\[ x' = -y \] \[ y' = x \]

Using this transformation, we can determine the new coordinates.

• If \( D \) originally has coordinates \( (x, y) \), we would need to apply the transformations above.

If you can provide the original coordinates of point \( D \), I would be able to calculate \( D' \) accurately.