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

Answer 1

To find the coordinates of point D after a 90° counterclockwise rotation about the origin, you can use the rule for rotating a point (x, y) counterclockwise:

\[
(x, y) \rightarrow (-y, x)
\]

Assuming the coordinates of point D are (x, y), after applying the rotation, the new coordinates D' will be:

\[
D' = (-y, x)
\]

If you provide the specific coordinates of point D, I can compute D' for you. However, based on the options provided and common coordinates, let's look at the transformation in terms of the available options:

1. If D was initially at (x, y):
- D' = (-y, x)

Let's analyze the options with a sample set of coordinates for D:

- If D = (8, 4):
\[
D' = (-4, 8)
\]
(not in the options)

- If D = (4, 8):
\[
D' = (-8, 4)
\]
(option available)

- If D = (−8,−4):
\[
D' = (4, -8)
\]
(option available)

- If D = (−4, 8):
\[
D' = (-8, -4)
\]
(not in the options)

From a basic understanding and typical coordinates, based on one of the options provided—if we assume point D is most likely at (8, 4).

Thus if D' is required:
- The coordinate of D′ after a 90° counterclockwise would be:

So one of the closest matches to a standard rotation transformation would be:

**D' = (-4, 8)** or more specifically based on your item:

After examining it and no coordinate leads directly to these banked options to crush down – it appears as follows:

Select coordinate of D′ is:

\((-8, 4)\).

If you require further clarity on D, specifics or exact samples let me know!