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The point A(-3, 2) is rotated 270 degrees counter-clockwise about the origin. The coordinates of A’ are? (See image below)

The Point A3 2 Is Rotated 270 Degrees Counterclockwise About The Origin The Coordinates Of A Are See Image Below class=

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Solution

Given that a point A(-3, 2) is rotated 270° counter-clockwise about the origin.

The rule for 270° counter-clockwise rotation about the origin is

[tex]B(x,y)\rightarrow B^{\prime}(y,-x)[/tex]

Substituting the coordinates of A, the coordinates A' will be

[tex]A(-3,2)\rightarrow A^{\prime}(2,3)[/tex]

Hence, the coordinates of A' are (2,3)

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