A description is given for the geometry of the first generation adaptive-optical (AO) system being developed for the 6.5 m single-mirror telescope that will replace the Multiple Mirror Telescope on Mt. Hopkins. The AO system consists of an adaptive secondary mirror with 330-actuators and a wave front sensor composed of a 13 x 13 square subaperture array. The deformable mirror actuator vibrational modes were determined from a finite element model of the adaptive-secondary mirror. Numerical simulations based on the finite element results were carried out to determine the expected performance of the system. Two reconstruction algorithms were compared - a least-squares reconstructor and a modal equalization technique developed for this AO geometry. Strehl ratios are reported for the two algorithms for various guide star magnitudes and number of corrected wave front modes.