Dagmar is near the North Dakota line and the Canadian border. Dagmar is near Brush Lake State Park. Brush Lake is a deep, clear lake with white, sandy beaches surrounded by grass fields and stands of spring wheat. The Medicine Lake National Wildlife Refuge is also nearby. Thousands of migrating waterfowl make their summer home at Medicine Lake National Wildlife Refuge. Great blue herons, white pelicans, sandhill cranes, grebes and 12 different species of ducks share the prairie lake ecosystem.