The hydrocarbons CCH and c-C3H2 have been detected at multiple positions distributed across the Helix, along with the CN, indicating that these molecules are present throughout this very old planetary nebula. The species were identified by observations of the N = 1 -> 0 transitions of CCH and CN and the J = 2(1,2) -> 10,1 transition of c-C3H2, conducted with the new Atacama Large Millimeter/submillimeter Array (ALMA) prototype 12 m antenna of the Arizona Radio Observatory at 3 mm in wavelength. Column densities of the three species were calculated to be N-tot(CCH) similar to (0.8-6.6) x 10(12) cm(-2), N-tot(c-C3H2) similar to (0.3-5.9). x 10(11) cm(-2), and Ntot(CN) similar to (0.7-7.4). x. 10(12) cm(-2), corresponding to fractional abundan...