1. Given two distinct points, one can fold one point onto the other.

2. Given two distinct lines, one can fold one line onto the other.

3. Given a point and a line, one can fold the line onto itself so that the point lies on the fold.

4. Given two points, one can make a fold so that the points are on the fold line.

5. Given two points and two intersecting lines, one can fold one point onto one line and the other point onto the other line.