Question

parallelogram defg has been rotated. which statements are correct? check all that apply. point f → point f parallelogram defg → parallelogram gfed point d of the pre - image corresponds to point d of the image. ed of the pre - image corresponds to gf of the image. parallelogram defg maps to parallelogram defg.

Explanation:

Step1: Recall rotation properties

In a rotation, each point of the pre - image corresponds to a unique point in the image.

Step2: Analyze point - to - point correspondence

For a rotated parallelogram DEFG to D'E'F'G', point F of the pre - image corresponds to point F' of the image, and point D of the pre - image corresponds to point D' of the image. Also, the entire parallelogram DEFG maps to parallelogram D'E'F'G'.

Step3: Analyze side - to - side correspondence

In a rotation of a parallelogram, corresponding sides are equal in length and position - related. ED of the pre - image corresponds to G'F' of the image.

Step4: Check the given statements

The statement "parallelogram DEFG → parallelogram GFED'" is incorrect as the order of vertices should follow the correct correspondence after rotation.

Answer:

point F → point F'; Point D of the pre - image corresponds to point D' of the image; $\overline{ED}$ of the pre - image corresponds to $\overline{G'F'}$ of the image; Parallelogram DEFG maps to parallelogram D'E'F'G'