JACQUES D. answered 03/24/20
Ivy league and MIT educated Chemical Engineer with career as teacher
a) Low IE: Low energy to pull off an electron --> metal. The larger the metal, the easier it is. Generally, more metallic (lower IE) down and to the left of the P.T.
Low electronegativity: Does not want to hog electrons in a covalent bond. Generally not strongly attracting electrons. One can assume that it is not a nonmetal. Electronegativity generally goes up as you go up and to the right on the P.T. (omitting the Noble Gases) maxing at Fluorine.
Large atomic size means down and to the left of the P.T. The most active metallic elements are at the bottom of IA and IIA columns.
b) Clearly a metal.
c) The only chemical property that matters are loose electrons. Metals usually react by forming cations (+ ions) or reacting to form an ionic compound with nonmetal or polyatomic anions (- ion). If they do form covalent bonds, the electrons are generally much more drawn to the other atom.
Other properties of metals, like ductility, luster, malleability, toughness, have to do with metallic bonding in the solid metal (or alloys which is how metals usually combine).