This paper describes GLORIA sidescan sonar data from a single swath along the Cocos-Nazca Spreading Centre between the 95.5° W propagating rift and the Pacific-Cocos-Nazca triple junction. Almost the whole of the plate boundary was imaged. Five medium sized offsets of the spreading centre, ranging from 10 to 25 km, were seen. Of these, at least one (at 99° W) is a previously unknown propagating rift, propagating westwards away from the Galapagos hotspot at about 40 mm a-1. Two other offsets have some, but not all, of the characteristics of propagating rifts, and may be poorly developed (possibly ‘duelling’) propagating rifts or migrating overlapping spreading centres. In each case the apparent propagation rate is between one and two times the half spreading rate. The average length of ridge segments in this region is 70 km, but lengths range from 12 to 135 km. The longest segments are those immediately behind actively propagating ridge offsets. The overall plan shape of the ridge axis is roughly sinusoidal, with a wavelength of 400–500 km and an amplitude of ±20 km. This nonlinear shape has arisen since the spreading centre was created, and may reflect an instability in the mantle plumes that control ridge segmentation.