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 Rotation vs Translation

Check if the figures have the same orientation (translation) or different (rotation). Figure E and F have same shape/orientation, so likely translation.

Step2: Identify Translation Vector

Pick a vertex of E (e.g., top vertex: (1, -2)). Corresponding vertex in F: (6, 2). Change in x: \(6 - 1 = 5\), change in y: \(2 - (-2) = 4\). So translation 5 right, 4 up.

Answer:

A translation 5 units right and 4 units up