A line has two-fold _______ symmetry.A.rotationalB.reflectiveC.translationD.tesselation

Breaking Down the Problem

1. Identify the types of symmetry mentioned: rotational, reflective, translational, and tessellation.
2. Determine which type of symmetry applies to a line.

Relevant Concepts

1. Rotational Symmetry: A shape has rotational symmetry if it looks the same after a certain amount of rotation.
2. Reflective Symmetry: A shape has reflective symmetry if it can be divided into two identical halves by a line (the line of symmetry).
3. Translational Symmetry: A shape has translational symmetry if it can be moved (translated) in space and still look the same.
4. Tessellation: This is a pattern of shapes that fit together without any gaps.

Analysis and Detail

• A line inherently divides space into two mirrored halves, which means it can be reflected over itself. Thus, it exhibits reflective symmetry.
• It does not exhibit rotational or translational symmetry as a simple line does not maintain its shape under rotation or translation in a way other than itself.

Verify and Summarize

• Since a line displays reflective symmetry, the correct choice among the options given is B.

Final Answer

The correct answer is B. reflective.