Final answer:
Your brother's interest in the property you give him for the rest of his life, before it passes to his daughter, is a life estate.
Step-by-step explanation:
When you give your house to your brother for the rest of his life and, when he dies, the house is to go to his daughter, your brother's interest in the property is known as a life estate. A life estate is a type of property ownership or tenancy where the individual has the rights to use the property during their lifetime, but they do not own the property outright. Upon the demise of the life tenant (your brother in this case), the property will automatically pass to the remainderman, which is his daughter, without the need for probate or a will. The other options listed, such as curtesy, fee estate, and habendum, do not accurately describe the type of interest your brother has in the property.