First draw a circle. Keeping the compass at the same angle; from any point on the circle's edge, draw another arc that intersects the circle's edge and (should) go through the centre as well. Repeat these arcs until you get back to the start. Using a ruler, connect the six intersect points on the edge of the circle and erase the construction lines.
Yes.
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True
Yes. Bees are extremely good at tessellating regular hexagons in a honeycomb.
Start by drawing a regular hexagon.Now move one of the vertices either a little way towards, or away from the centre of the hexagon, and redraw the lines joining it to its neighbour vertices.To construct using a straight edge and a compass:Construct a regular hexagon:Draw a circle; call its centre O.Mark a point on the circumference of the circle.Keeping the compass set to the same width (the radius of the circle), draw an arc to intercept the circle with the centre on the marked point.Repeat step 3 using the last arc-circumference intercept as the centre for the next arc until 6 marks have been made.Label the marks in the order they were drawn A, B, ..., FDraw in only the lines BC, CD, DE, EF (that is miss out lines AB and FA which would complete the regular hexagon).Draw in the line AOD (if the vertices were marked properly in construction, these will lie on a diameter of the circle) and extend it either side of the circle.Mark a point beyond A on AOD and call it G.Draw in lines GB and FG.Hexagon GBCDEF is an irregular hexagon with one line of symmetry, namely GAOD.
Yes.
yes
True newtest3
True newtest3
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True...
Flvs h.w
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.
A 10 degree angle cannot be constructed using only a compass and straight edge.
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.
you just draw lines
No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.