Final answer:
Mast cells and basophils both have IgE receptors on their membranes, allowing them to respond to specific antigens and trigger an immune response.
Step-by-step explanation:
One of the most important features that mast cells and basophils have in common is the presence of IgE receptors on their membranes. IgE is an antibody that binds to mast cells and basophils, causing them to release potent pro-inflammatory mediators like histamine during an allergic response. This specific binding of IgE to its receptors allows mast cells and basophils to respond to specific antigens and trigger an immune response.