The correct option is:
Electronegativity decreases down a group, and reactivity increases down a group.
This is true for metals. As you move down a group in the periodic table, the electronegativity of metals decreases because the atomic size increases, making it harder for the nucleus to attract electrons. At the same time, the reactivity of metals tends to increase down a group, as it becomes easier for them to lose their outermost electrons.