Question

figure f figure e answer a rotation 90° counterclockwise about the origin a rotation 90° clockwise about the origin a translation 5 units right and 4 units up a translation 4 units right and 5 units up submit answer

Explanation:

Step1: Recall transformation rules

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(-y,x)$. For a 90 - degree clockwise rotation about the origin, the rule is $(y, - x)$. For a translation $a$ units right and $b$ units up, the rule is $(x,y)\to(x + a,y + b)$.

Step2: Analyze the figures

Let's assume a point on Figure E. If we consider a translation 5 units right and 4 units up: Let a point on Figure E be $(x,y)$. After translation, it becomes $(x + 5,y+4)$. By observing the position of Figure F relative to Figure E, we can see that if we take a point on Figure E and apply the translation rule $(x,y)\to(x + 5,y + 4)$, we can map Figure E to Figure F.

Answer:

A translation 5 units right and 4 units up