Question

What is the image of the point (0, 9) after a rotation 90° clockwise about the origin?

Answer 1

Answer:

$\boxed{A'(9,0)}$

Step-by-step explanation:

When we rotate a point we could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation.

On the coordinate plane, consider the point $(x,y)$. To rotate this point by 90° around the origin in clockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:

$(x,y)\rightarrow(y,-x)$

So:

$A(0, 9) \rightarrow A'(9,0)$

Finally, the new point is:

$\boxed{A'(9,0)}$