Final answer:
In nature, a calm lake or pond is an example of a flat surface with reflection symmetry, while a sunflower shows rotational symmetry. Examples of company logos with reflection symmetry include Pepsi and FedEx, while the BMW logo has rotational symmetry.
Step-by-step explanation:
In nature, an example of a flat surface that has reflection symmetry is a calm lake or pond. When the water is still, it reflects the surrounding scenery perfectly, creating a mirror image. This reflection symmetry can be observed when you see a mountain or a tree mirrored in the water.
On the other hand, an example of a flat surface that has rotational symmetry is a sunflower with its spiral arrangement of petals. If you imagine rotating the sunflower around its central axis, it will have multiple positions where it looks the same.
As for some company logos that have reflection symmetry, an example is the Pepsi logo. The logo features a circular design with a wavy line in the middle, and if you draw a line through the center, the two sides will appear as mirror images of each other. Another example is the FedEx logo, with its hidden arrow symbol between the letters E and x.
On the other hand, a company logo that has rotational symmetry is the BMW logo. It consists of four interconnected circles, and if you rotate the logo by 120 degrees or a multiple of 120 degrees, it will look the same.