Step 1: Read what is asked.
We are given four atomic numbers 9, 17, 35 and 53. We must find which family they belong to. The family is decided by the group in the periodic table.
Step 2: Name each element.
Atomic number 9 is Fluorine. Atomic number 17 is Chlorine. Atomic number 35 is Bromine. Atomic number 53 is Iodine.
Step 3: Find the group.
All four of these elements sit in Group 17 of the periodic table. Group 17 elements are called halogens.
Step 4: Check the outer electrons.
Each of these elements has 7 electrons in its outer shell. Because of this they all behave in a very similar way.
Step 5: Why not the other families.
Alkali metals are in Group 1 and alkaline earth metals are in Group 2. Noble gases are in Group 18. None of our four elements fall in those groups.
Step 6: Final choice.
Since F, Cl, Br and I all have 7 outer electrons and sit in Group 17, they are halogens.\[ \boxed{\text{Halogens}} \]