1. Show that when the image of a simple magnifier is viewed at the near point, the lateral and angular magnification of the magnifier are equal.

2. Find the final image for the situation in Problem 108 when the mirror is not tilted. Assume that the image is viewed by an eye to the left of the object looking through the lens into the mirror.

3. Suppose each axis of a coordinate system like the one in Figure 34-4 is painted a different color. One photograph is taken of the coordinate system and another is taken of its image in a plane mirror. Is it possible to tell that one of the photographs is of a mirror image rather than both being photographs of the real coordinate system from different angles?