Question

question figure f is the result of a transformation on figure e. which transformation would accomplish this? 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

Explanation:

Step1: Analyze translation

Count the horizontal and vertical distance between corresponding points of Figure E and Figure F. The horizontal distance (right - left) and vertical distance (up - down) between key points of the two figures need to be determined.

Step2: Check rotation

Examine if the orientation of the figure has changed in a rotational manner around the origin. For a 90 - degree counter - clockwise rotation around the origin, the transformation of a point $(x,y)$ to $(-y,x)$; for a 90 - degree clockwise rotation around the origin, the transformation of a point $(x,y)$ to $(y, - x)$.

Step3: Determine the transformation

By observing the position of Figure E and Figure F, we can see that to get from Figure E to Figure F, we move each point of Figure E 5 units to the right and 4 units up. There is no rotation as the orientation of the figure remains the same in terms of the direction of its sides.

Answer:

A translation 5 units right and 4 units up