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What are the coordinates of point A′ if triangle ABC is rotated 90° to produce the image triangle A′B′C′?

The coordinates of point A are (-4,9)

Without knowing the orientation of the rotation, it is impossible to determine the coordinates of point A′.

How would we find it though

To find the coordinates of point A′, you need to know a few more pieces of information. Specifically, you need to know the orientation of the rotation (clockwise or counterclockwise) and the center of the rotation.

Once you have this information, you can use a rotation formula to calculate the coordinates of point A′. The formula will involve the coordinates of point A, the center of rotation, and the angle of rotation.

For example, if you know that the rotation is counterclockwise around the origin by 90 degrees, the formula would be:

x' = (-y)
y' = x

Using this formula, you can plug in the coordinates of point A (-4,9) to get:

x' = (-9) = -9
y' = (-(-4)) = 4

Therefore, the coordinates of point A′ are (-9,4).

No

I apologize if my previous response did not answer your question. Without additional information about the rotation, it is impossible to give you exact coordinates for point A'.

In general, when you rotate a point in the Cartesian plane, you need to know the following information:

1. The center of rotation
2. The angle of rotation
3. The direction of rotation (i.e., clockwise or counterclockwise)

With this information, you can use a rotation formula to find the new coordinates. The formula will depend on the specifics of the rotation and may involve trigonometric functions such as sine and cosine.

If you can provide more information about the rotation, I would be happy to help you find the coordinates of point A'.

what's the longest word in the world

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what about the one that takes 3 hours to say?

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Well there is but it's so long they cant put it in