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Which statement best describes the three-dimensional symmetry of a salad plate?

A. The salad plate has line symmetry because it is symmetrical about any line that passes through it.

B. The salad plate has axis symmetry because it can be rotated some angle around a vertical axis through the center of the salad plate and still look the same.

C. The salad plate has plane symmetry because it can be divided into identical halves by any plane through the salad plate.

D. The salad plate has axis symmetry because it can be rotated 90° around any horizontal axis through the salad plate and still look the same.

Answer :

The statement that best describes the three-dimensional symmetry of a salad plate is: "The salad plate has plane symmetry because it can be divided into identical halves by any plane through the salad plate."

Three-dimensional symmetry refers to the way an object maintains its appearance when rotated, reflected, or otherwise transformed in three-dimensional space. In this case, the salad plate's symmetry is described by its ability to be divided into identical halves by any plane passing through it. This property is known as plane symmetry or bilateral symmetry.

The other statements describe different types of symmetry that do not necessarily apply to a salad plate. Line symmetry refers to symmetry about a line, axis symmetry involves rotation around a specific axis, and the mention of 90 degrees rotation around a horizontal axis is not a general description of three-dimensional symmetry.

Therefore, the statement about plane symmetry accurately characterizes the type of symmetry that a salad plate typically exhibits.

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