Not to be completely picky.....
Methyl ethyl ketone (MEK) can react explosively to heat, but concentrations in air have to be pretty high (about 1.8%-about 18,000ppm) for that to occur. More likely, MEK will burn readily. Its flashpoint is 25 degrees F. Just like any organic substance, it's important to keep it away from heat or open flame.
Dichloromethane (also known as methylene chloride), when it decomposes (via heat sources), may produce chlorine gas, hydrochloric acid, carbon dioxide/monoxide, or phosgene. This compound doesn't burn, but may reach decomposition temperatures (>120 degrees C/) when involved in fires with other materials. It does, however, evaporate extremely fast, so inhalation of vapors should be minimized. It is a confirmed animal carcinogen (causes cancer) with an unknown relevance to humans. In my experience, this substance should be avoided as a hobby glue.
MEK, on the ohter hand, has a fairly low order of toxicity. It is not suspected as a cancer agent; still, inhalation should be avoided, or at least , minimized since it has a narcotic effect on the central nervous system and may be irritating to the eyes and mucus membranes at elevated levels. Repeated contact has the potential to produce dermatitis (drying, redness, and inflammation of the skin).