We present high resolution VLA 21 cm line observations of five H II ga
laxies combined with previous lower resolution data from Taylor et al
[AJ, 105, 128 (1993)] and optical broadband R and Halpha CCD images of
the systems. Following Kennicutt [ApJ, 344, 685 (1989)] we have calcu
lated the threshold H I surface density for star formation for the H I
I galaxies and compared the location and shape of this predicted thres
hold density contour with the optical shape of the galaxies. We find g
enerally a good correlation between these two, although a constant den
sity contour of 10(21) CM-2 fits the images of the optical galaxies eq
ually as well. The H I synthesis observations have revealed that the H
II galaxies have sharply peaked H I radial profiles, in contrast to t
he relatively flattened profiles of low surface brightness (LSB) galax
ies, suggesting that large central concentrations of gas are a necessa
ry condition for the occurrence of bursts of massive star formation se
en in H II galaxies. These observations are consistent with the hypoth
esis that LSB galaxies represent the quiescent phase of H II galaxies,
if a suitable mechanism exists (such as galaxy interactions) to cause
H I to concentrate at the center of LSB galaxies prior to the onset o
f the burst of star formation. However, it is noted that H II galaxies
(and dwarf galaxies in general) span a relatively large range in mass
. Since many properties correlate with mass (e.g., gas mass fraction),
we point out that great care needs to be taken in choosing the proper
comparison samples of LSB and H II galaxies.