The microhexcavity plasma panel detector is a type of gaseous particle detector consisting of a close-packed array of millimeter-size hexagonal cells. The cells are biased to operate in Geiger mode where each cell functions as an independent detection unit. The response of the detector to ionizing radiation was investigated using low-energy radioactive $ \beta $ sources and cosmic ray muons. Efficiency measurements were conducted with cosmic ray muons in conjunction with a scintillator hodoscope. The rate response and signals obtained from the microhexcavity detector filled with Penning gas mixture at atmospheric pressure are herein described. The relative pixel efficiency, after allowing for ion-pair formation in the gas volume, is 96.8 $ \pm $ 4.4$ \% $ for operation of the detector above an applied high voltage of 1000 V.