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Answer:</h2>
Option C
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Step-by-step explanation:</h2>
When you rotate a point you 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. Rotating a whole shape means we're rotating every point in the shape.
On the coordinate plane, consider the point (x,y). To rotate this point by 90° around the origin in counterclockwise 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)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%28-y%2Cx%29)
By applying this rule to every point we have:
![W(-4, -1) \rightarrow W'(1, -4) \\ \\X(-6, 1) \rightarrow X'(-1, -6) \\ \\ Y(-8, -1) \rightarrow Y'(1, -8) \\ \\ Z(-6, -3) \rightarrow Z'(3, -6)](https://tex.z-dn.net/?f=W%28-4%2C%20-1%29%20%5Crightarrow%20W%27%281%2C%20-4%29%20%5C%5C%20%5C%5CX%28-6%2C%201%29%20%5Crightarrow%20X%27%28-1%2C%20-6%29%20%5C%5C%20%5C%5C%20Y%28-8%2C%20-1%29%20%5Crightarrow%20Y%27%281%2C%20-8%29%20%5C%5C%20%5C%5C%20Z%28-6%2C%20-3%29%20%5Crightarrow%20Z%27%283%2C%20-6%29)
The figure below shows the original shape in green while the rotated shape is the one in red. As you can see, this figure matches the option C.