Find the coordinates of the image of a triangle with vertices A( 0,1 ), B(- 6,0 ), and C( 3,-2 ) under a rotation of 90 counterclockwise about the origin. Write down the coordinates of Image points of ABC. Show Your Work
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A rotation of 90 degrees counterclockwise about the origin can be achieved by applying the rotation matrix to each point's coordinates. The rotation matrix for 90 degrees counterclockwise is: \[ R = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix} \] This means that Show more…
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