Symmetry in a Geometric Configuration

Imagine a geometric figure that consists of a large circle with a smaller circle drawn exactly at the center. Next, there are two identical triangles that are positioned such that the base of each triangle is tangent to the larger circle while the vertex of each triangle points towards the center of the circle.

If you fold this figure along the line that runs through the center of the large circle and the vertices of the triangles, what can you say about the resulting two shapes?