Question

answer a rotation 90° clockwise about the origin a translation 2 units to the left and 8 units up a translation 2 units to the right and 8 units down a rotation 90° counter - clockwise about the origin submit answer

Explanation:

Step1: Analyze translation

Translation involves moving a figure without rotation or reflection. Comparing the positions of corresponding points of the two figures on the coordinate - plane, we can see that the figure is not just translated horizontally or vertically.

Step2: Analyze rotation

For a 90 - degree clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(y, - x)$. For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(-y,x)$. By observing the orientation of the two figures, we can see that a 90 - degree clockwise rotation about the origin would change the orientation of the figure in a way that does not match the given transformation. A 90 - degree counter - clockwise rotation about the origin would change the orientation in a way that matches the given figures.

Answer:

A rotation 90° counterclockwise about the origin