Question

Find the coordinates of the image of point A(3, –9) after a rotation of 90 degrees clockwise about the origin.

Group of answer choices

(–3, 9)

(9, 3)

(–9, –3)

(3, 9)

Answer 1

C) (-9, -3)

Explanation:

To find the coordinates of the image of point A(3, -9) after a 90° clockwise rotation about the origin, we can use the following transformation rule:

`\boxed{\begin{array}{c}\underline{\textsf{90$^(\circ)$ clockwise rotation about the origin}}\\\\(x,y) \rightarrow (y, -x)\end{array}}`

Therefore, applying the mapping rule gives:

`A(3,-9) \rightarrow A'(-9,-3)`

So, the coordinates of the image of point A after a 90° clockwise rotation about the origin are (-9, -3).