Question

point q (2, - 1) is rotated 90° clockwise about the origin. what are the coordinates of its image after this transformation? enter your answer by filling in the boxes. q (□,□)

Explanation:

Step1: Recall rotation rule

For a 90 - degree clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Apply the rule

Given point $Q(2,-1)$, where $x = 2$ and $y=-1$. After applying the rule, the new $x$-coordinate is $y=-1$ and the new $y$-coordinate is $-x=-2$.

Answer:

$Q'(-1,-2)$