The so-called "Face" on Mars and the surrounding anomalous objects in a region called "Cydonia" appear at first glance to be randomly located and oriented on the planet. But it has previously been established that the martian poles had a different location with respect to the surface of the planet in the past, and apparently jumped from that location to the present one in relatively little geological time. We draw attention to the fact that the Cydonia area is right on the old martian equator, and the "Face" is oriented perpendicular to that old equator, to within the measurement uncertainties. This has only about a 1% probability of occurring by chance. Both the line of inquiry that led to this discovery and a possible purpose for building such an artificial structure looking into space were suggested by the exploded planet hypothesis. Taken in conjunction with the finding of bilateral symmetry in the Face and the anomalous nature of other nearby objects on Mars, the weight of existing evidence has, in this author's opinion, shifted in favor of an artificial origin of the Cydonia complex. With luck, the Mars Global Surveyor spacecraft now en route to Mars will confirm or refute this conclusion.