Best Answer

Yes

First construct an equilateral triangle:

Draw the base side of the triangle and label the ends A and B - this will be the first side of the hexagon.

Set the compass to the length of the side.

With the compass on one end of the line (point A), draw an arc to one side of the line (roughly near the middle).

With the compass on the other end of the line (point B), draw a second arc to intersect the first arc (call this point O) - this is the apex of the triangle.

Normally when constructing the triangle side OA and OB would be drawn in, however as a hexagon is being constructed only the location of O is needed. This point O will be the centre of the hexagon.

Now construct 4 further equilateral triangles:

For the first use OB as the base (the actual line is not needed, just its endpoints), construct its apex C and using the straight edge join B to C.

For the next, use OC as the base, construct its apex D and join C to D

Then use OD, construct apex E and join D to E

Finally using OE, construct apex F and join E to F.

The hexagon can now be completed by joining F to A.

Q: Is it possible to construct a hexagon using only a straightedge and a compas?

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No

Yes Set the compass to wider than half the length of the line segment. Put the point of the compass on one end of the line segment and draw two arcs, one either side of the line (roughly near the middle). Put the point of the compass on the other end of the line segment and draw two further arcs to intersect the first two arcs. With a straight edge, join the two points where the arcs cross. This line is the perpendicular bisector of the original line segment.

No.

a compas

Un compas

Related questions

No

Rob Compas was born in 1966.

The population of Le Compas is 218.

un compas is 'a compass' in English.

Yes Set the compass to wider than half the length of the line segment. Put the point of the compass on one end of the line segment and draw two arcs, one either side of the line (roughly near the middle). Put the point of the compass on the other end of the line segment and draw two further arcs to intersect the first two arcs. With a straight edge, join the two points where the arcs cross. This line is the perpendicular bisector of the original line segment.

Compas - album - was created on 1997-11-06.

Jonathan Compas was born on 1986-01-09.

The area of Le Compas is 16.54 square kilometers.

No.

"Un compas" in English translates to "a compass," which is a tool used for drawing circles and measuring directions.

No.

absolutely