Question

figure j is the result of a transformation on figure i. which transformation would accomplish this? answer a rotation 180° clockwise about the origin a rotation 90° clockwise about the origin a translation 2 units to the right and 2 units up a rotation 90° counterclockwise about the origin

Explanation:

To determine the transformation from Figure I to Figure J, we analyze the orientation and position. A 90° counterclockwise rotation about the origin changes the coordinates \((x,y)\) to \((-y,x)\), which matches the transformation seen between the two figures. Other options: 180° rotation would flip both x and y signs, translation would shift without rotation, and 90° clockwise would transform \((x,y)\) to \((y,-x)\), which doesn't match.

Answer:

A rotation \(90^\circ\) counterclockwise about the origin