In order for a figure to have reflectional symmetry, there needs to be at least one axis such that when the the figure "folds" over that axis it maps into itself.
In order for it to have reflectional figure, the figure, after a rotation of less than 360°, must map into itself.
In this case, we'll focus on the rotational symmetry, since it's not difficult to find an axis over which each figure has reflective symmetry.
The only way the first and third figures will map into themselvesis after a full 360° spin, so they do not have rotational symmetry.
The fourth figure is an isoceles triangle. Because of this, it will only map into itself after a 360° spin.
The second figure can map into itself if we rotate it 180° around the point where the bisectors intersect. Interestingly enough, these bisectors are also the axes for the reflective symmetry.
So, Figure 2 is the only one that could possibly have both rotational and reflective symmetries.
