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. □ $overline{ed}$ of the pre - image corresponds to $overline{gf}$ of the image. □ parallelogram defg maps to parallelogram defg.

Explanation:

1. Point F → Point F': By analyzing the rotation and corresponding points (matching markings/angles), F in pre - image maps to F' in image.
2. Parallelogram DEFG → Parallelogram G'F'E'D': The order of vertices after rotation should match the rotated figure. The pre - image DEFG, when rotated, has vertices G' (corresponding to G), F' (corresponding to F), E' (corresponding to E), D' (corresponding to D), so DEFG maps to G'F'E'D'.
3. Point D of pre - image corresponds to D' of image: In a rotation, each point maps to a corresponding point with the same label (primed), so D maps to D'.
4. \(\overline{ED}\) of pre - image corresponds to \(\overline{G'F'}\) of image: By comparing the sides (length and angle markings), \(\overline{ED}\) (in DEFG) and \(\overline{G'F'}\) (in G'F'E'D') are corresponding sides.
5. Parallelogram DEFG maps to D'E'F'G': This is incorrect as the order of vertices does not match the rotation - the correct mapping should be to G'F'E'D' based on the correspondence of points.

Answer:

• point F -- point F'
• parallelogram DEFG -- parallelogram G'F'E'D'
• 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.