Sure:The goal of this problem is to show that any finite group generated by two elements of order two is dihedral (with $\mathbb{Z}_2\times\mathbb{Z}_2$ being considered a "degenerate" dihedral group). Suppose that $G$ is generated by the elements $x,y\in G$, both of order $2$.
a) (3 pt) Assuming that the order of $G$ is finite, what can you say about the order of the element $xy\in G$?
b) (3 pt) Show that the group generated by $x$ and $y$ is the same as the group generated by $xy$ and $y$
c) (3 pt) Show that the group generated by $x$ and $y$ is dihedral.