Graph the polygon with vertices A(−3,−1), B(2, 2), C(3,−3) and its image after a rotation 90∘ about the origin.

What are the coordinates for polygon ABC after its image after a rotation of 90 degrees about the origin?

Please show all of the work on how you got your answer.

A' (-1,3)

B' (2, -2)

C' (-3, -3)

Step-by-step explanation:

when rotating 90 degrees, you first invert the x value (if it is a positive make it a negative and if it is a negative make it a positive) and then you switch the x and y values.

for example, (1,2) would turn into (-2,1) after rotated 90 degrees.

I attached a file of both of the graphs. The blue is the original and the orange is the rotated one. hope it helps!

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step-by-step explanation: