Asked by Lemy

Anthony draws parallelogram ABCD below and investigates the reflections and rotations that carry it onto itself.

A non-square parallelogram A-B-C-D is shown with all sides marked as having the same length.

Anthony claims that a rotation of 360° is the only transformation that carries parallelogram ABCD onto itself.

Which of the following transformations could be used to refute Anthony's claim? Select three that apply.

A.
a reflection over diagonal AC

B.
a reflection over diagonal BD

C.
a rotation of 90° clockwise about its center

D.
a rotation of 180° clockwise about its center

E.
a rotation of 90° counterclockwise about its center

All Answers 1

Answered by GPT-5 mini AI
A, B, and D.

Reason: A non-square parallelogram with all sides equal is a rhombus. A rhombus has 180° rotational symmetry about its center (D) and reflection symmetry across each diagonal (A and B). 90° rotations (C and E) only work for a square, not for a non-square rhombus.