When a figure is rotated 270 degrees clockwise about the origin, the transformation can be described using algebraic rules for the coordinates of the points in the figure.
If you have a point (x, y), after a 270-degree clockwise rotation, the new coordinates (x’, y’) can be calculated using the following rule:
(x', y') = (y, -x)
This means that the x-coordinate of the original point becomes the y-coordinate of the new point, and the y-coordinate of the original point becomes the negative of the original x-coordinate.
For example, if you start with the point (2, 3) and apply the rule:
(x', y') = (3, -2)
So, the point (2, 3) would be transformed into (3, -2) after a 270-degree rotation clockwise about the origin. This transformation effectively spins the figure around the origin in a way that repositions all of its points accordingly.