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True newtest3
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A regular hexagon can be constructed using only a straightedge because it can be formed by connecting six equidistant points on a circle. While the hexagon itself does not contain circles, its vertices can be defined using simple geometric principles, such as dividing a circle into six equal parts and connecting those points with straight lines. Therefore, the construction relies on the properties of straight lines rather than the use of a compass to draw circles.
To construct a hexagon, you need a compass, a straightedge (ruler), and a pencil. Start by drawing a circle with the compass; the radius will determine the size of the hexagon. Then, using the same radius, mark off six equal points around the circle's circumference, which will serve as the vertices of the hexagon. Finally, connect these points with straight lines to complete the hexagon.
Measuring implies using a measuring device of some kind. If you mean to construct a hexagon without a protractor or ruler, that's different. Constructions in geometry require only a compass and a straightedge (a ruler, but you ignore the numbers). A hexagon can be made of 6 equilateral triangles; choose any length for the side and construct them connected together, using only the compass to set the length and the straightedge to draw straight lines between points.
Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube
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