compare and contrast the shapes of the samples of halite and quartz?
Would it not be better if you entered each one, do the search and then read the description yourself. I would have to take my time to do that for you. . .And what would you learn. To start off with those are not all crystals or quartz either IE., Tiger's Eye is fossilized asbestos, Hematite is one of the iron ores, Goldstone is most probably man made. What is Blue Lace or New Jade. . .those are some local names not in mineral books.
The question does not make sense as stated. Turquoise is a gemstone but is not quartz and is never a crystal. Amethyst is quartz and is usually in crystals, rose quartz is quartz but is only rarely crystalline. Red jasper is silica (I'm not sure I'd call it quartz) but is not crystalline and is not really a gem. Sodalite and hematite are not quartz. Crystal is a generic term, unless it's rock crystal, then it is quartz. You can do a search for the rest.