If P = (-1,-1), find the imageof P under the following rotation.270° counterclockwise about the origin([?], [ ])Enter the number that belongs inthe green box.

If P 11 find the imageof P under the following rotation270 counterclockwise about the origin Enter the number that belongs inthe green box class=

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Solution:

Given:

[tex]P=(-1,-1)[/tex]

When rotating a point 270 degrees counterclockwise about the origin, the point (x,y) becomes (y,-x). This means, we switch x and y and make x negative.

Thus, the point P will become;

[tex]P(-1,-1)\rightarrow P^{\prime}(-1,1)[/tex]

Therefore, the image of P will have the coordinates (-1,1)

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