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A line has two-fold _______ symmetry.A.reflectiveB.tesselationC.rotationalD.translation

Question

A line has two-fold _______ symmetry.

A. reflectiv
B. tesselation
C. rotational
D. translation

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Solution

To determine the correct answer to the question, let's analyze each option provided.

  1. Reflective Symmetry: This is a type of symmetry where one half of an object is the mirror image of the other half. A line can be reflected across itself, hence it can possess reflective symmetry.

  2. Tessellation: This refers to a pattern of shapes that fit together without any gaps or overlaps. While tessellations can have symmetry, they are not specifically related to the symmetry of a line itself.

  3. Rotational Symmetry: This occurs when an object can be rotated around a center point and still look the same at certain angles. A line can have rotational symmetry around a point but does not exhibit this two-fold symmetry primarily.

  4. Translation Symmetry: This type of symmetry occurs when an object can be moved (translated) a certain distance in a certain direction and remain unchanged. This concept does not apply to a line in the context of two-fold symmetry.

Conclusion:

A line specifically shows two-fold (or bilateral) symmetry, meaning it can be divided into two mirror-image halves. Therefore, the correct answer is:

A. Reflective

This problem has been solved

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