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Veseljchak [2.6K]
3 years ago
14

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

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0
<h2>Answer:</h2>

\boxed{A'(9,0)}

<h2>Step-by-step explanation:</h2>

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)}

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