Since a regular hexagon contains no circles, it can be drawn using only a straightedge.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Break Down the Problem

1. Analyze the properties of a regular hexagon.
2. Determine the requirements for constructing a regular hexagon with a straightedge.

Relevant Concepts

1. A regular hexagon can be constructed using only a straightedge and a compass.
2. The statement claims that a regular hexagon can be drawn solely with a straightedge, without the use of a compass.

Analysis and Detail

1. A regular hexagon has six equal sides and can be inscribed in a circle; however, the problem states that it contains no circles.
2. A straightedge alone can only produce straight lines and cannot measure arcs or distances inherently, which is required to accurately place vertices of the hexagon with equal angles.
3. Therefore, constructing a regular hexagon using just a straightedge does not fulfill the requirements for accuracy unless informative angles or distances are pre-known.

Verify and Summarize

The statement that "a regular hexagon can be drawn using only a straightedge" is indeed inaccurate because the regular hexagon's geometric properties necessitate the placement of circles or knowledge of angles that cannot be achieved with a straightedge alone.

Final Answer

B. False