Question

Use the image to answer the question.

A quadrilateral is plotted on a coordinate plane with both the axes ranging from negative 10 to 10. with Pre Image A (-8, -5), Pre Image B (-4, -2), Pre Image C ( -2, -5), Pre Image D (-4, -8)

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 negative 4 right parenthesis

(8,4)
left parenthesis 8 comma 4 right parenthesis
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Answer 1

To find the new coordinates after a 90° counterclockwise rotation of point D (-4, -8) about the origin, we can use the rotation transformation formula:

For a point (x, y), the coordinates after a 90° counterclockwise rotation will be (-y, x).

Applying this to point D (-4, -8):
- New x-coordinate: -(-8) = 8
- New y-coordinate: -4

So, the new coordinates D' will be (8, -4).

Thus, the correct response is:
**(8, -4)**.