Explore possible lines of symmetry of
ABCD by following these steps.

1. Try constructing a vertical line of symmetry by dragging the points on the dashed line to W and Y.

2. Press Fold to reflect the rectangle over the dashed line.

3. The rectangle has vertical symmetry because the left and right halves are mirror images. Press Continue for the next step.

4. Try constructing a horizontal line of symmetry by dragging the points on the dashed line to Z and X.

5. Press Fold to reflect the rectangle over the dashed line.

6. The rectangle has horizontal symmetry because the top and bottom halves are mirror images. Press Continue for the next step.

7. Try constructing a diagonal line of symmetry by dragging the points on the dashed line to A and C.

8. Press Fold to reflect the rectangle over the dashed line.

9. Does the rectangle have diagonal symmetry?

10. What is the n-fold symmetry of the rectangle?