A parterre refers to a formal garden design that features intricate patterns and symmetrical arrangements of plants, typically seen in French gardens. A flowerbed, on the other hand, is a more general term used to describe an area of ground specifically prepared for planting flowers. Given that a parterre is a type of garden design and a flowerbed is a specific area for planting flowers, it can be inferred that a flowerbed is a more accurate synonym for parterre.