Question

figure h is the result of a transformation on figure g. which transformation would accomplish this? answer a translation 3 units right and 4 units up a rotation 90° clockwise about the origin a translation 4 units left and 3 units down a rotation 90° counterclockwise about the origin

Explanation:

Step1: Analyze translation

Translation changes position but not orientation. The orientation of Figure H is different from Figure G, so it's not a translation. Eliminate options about translations.

Step2: Recall rotation rules

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 rule for a point $(x,y)$ is $(-y,x)$.

Step3: Check rotation

By observing the orientation of Figure G and Figure H, a 90 - degree counter - clockwise rotation about the origin would change the orientation of Figure G to match Figure H.

Answer:

A rotation 90° counterclockwise about the origin