Diagram shows small square EFGH inscribed in large square ABCD, with a common center point. Vertex F lies alongside AB, vertex G lies alongside BC, vertex H lies alongside CD, and vertex E lies alongside DA.

Question

The number of lines of reflection about which the combined figure can reflect onto itself is

Answer 1

There are a total of 4 lines of reflection about which the combined figure can reflect onto itself.

These lines of reflection are:
1. The horizontal line passing through the center point of the figure (line passing through F and H).
2. The vertical line passing through the center point of the figure (line passing through E and G).
3. The diagonal line passing through the center point of the figure and vertex F (line passing through E and H).
4. The diagonal line passing through the center point of the figure and vertex G (line passing through F and G).