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If a shape is a regular pentagon with five sides, which of the following must be true?Check all that apply.A.It is symmetrical.B.It has five lines of symmetry.C.It has reflectional symmetry.D.It has exactly one line of symmetry

Question

If a shape is a regular pentagon with five sides, which of the following must be true?Check all that apply.A.It is symmetrical.B.It has five lines of symmetry.C.It has reflectional symmetry.D.It has exactly one line of symmetry

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Solution

A. It is symmetrical: This is true. A regular pentagon is symmetrical. This means that it can be divided into two or more identical parts.

B. It has five lines of symmetry: This is true. A regular pentagon has five lines of symmetry. Each line of symmetry runs from one corner to the midpoint of the opposite side.

C. It has reflectional symmetry: This is true. A regular pentagon has reflectional symmetry. This means that it can be reflected (or flipped) along a line of symmetry and still look the same.

D. It has exactly one line of symmetry: This is false. As mentioned above, a regular pentagon has five lines of symmetry, not just one.

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