Your observations should be the following:

• If an object contains a mirror plane, then it is achiral.
• If an object contains a center of inversion, then it is achiral.

These generalizations are correct, though the way of obtaining them is not very convincing. A better (general) method to arrive at these conclusions would be to consider the diagrams given for a mirror plane and a center of inversion in the preceding chapter, to construct their mirror images, and to realize that these are identical.

	The mirror image of is identical to
i	The mirror image of i is identical to i, as seen after a 180° rotation.