Final answer:
Lake Champlain and Lake Memphremagog are located in the state of Vermont, with portions extending into New York and Quebec, Canada. These freshwater lakes are known for their recreational and ecological significance.
Step-by-step explanation:
The state that has Lake Champlain and Lake Memphremagog is Vermont. Lake Champlain is one of the largest freshwater lakes in the United States and is known for its natural beauty and recreational opportunities. It is located along the border of Vermont and New York, and parts of it extend into Quebec, Canada.
Lake Memphremagog is also situated on the border between Vermont and Quebec, primarily in the Canadian territory, though its southern tip reaches into the United States. Both lakes are significant for their ecological diversity and are popular destinations for fishing, boating, and wildlife observation.