Question

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.

Answer 1

Solution:

Given:

$P=(-1,-1)$

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;

$P(-1,-1)\rightarrow P^{\prime}(-1,1)$

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