Question

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

Explanation:

Step1: Analyze the transformation type

To determine the transformation from Figure E to Figure F, we check for rotational symmetry. A 180° rotation about the origin \((0,0)\) transforms a point \((x,y)\) to \((-x,-y)\). By observing the coordinates of corresponding vertices (e.g., if a vertex of E is \((4, -5)\), a vertex of F is \((-4, 5)\), which fits the 180° rotation rule).

Step2: Confirm the transformation

Visually, the figures are symmetric with respect to the origin, indicating a 180° rotation about the origin (or a rotation by 180 degrees) is the transformation.

Answer:

A 180° rotation about the origin (or rotation by 180 degrees)