First figure:
In the first figure, the figure is reflected over the x-axis. In this case, just the position changes, the length of the sides and the angles do not. So in the first figure, the correct option is: Preserve both angle measure and segment length.
Second figure:
Reflection over the x-axis and then over the y-axis. Reflections don't change length of sides or angles. So the correct option is: Preserve both angle measure and segment length.
Third figure:
The figure is dilated, which makes the lengths of sides smaller. The measure of the angles, however, don't change in a dilation. So the correct option is: Preserves only angle measure.
Fourth figure:
The figure was moved, preserving the sides and angles. So the correct option is: Preserve both angle measure and segment length.