A figure is contained completely in Quadrant III of the coordinate plane. After applying the composition Ro.-90° ry to the figure, in which quadrant does the image lie?

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates. The correct option is C.
The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
The meaning of Ro.-90° ry, is that the figure is reflected across the y-axis, and then rotated about the origin by 90° in the clockwise direction, therefore, the figure will again lie in the third quadrant.
Hence, the correct option is C.
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