Hexagon:

 Method of Constructing a Regular Hexagon

Method I

By using a T-square and a 30^o -60^o set-square only sketch a line AB equal to the specified length of a side. So from point A, draw line, A₁ and A₂, making 60^o and 120^o angles, respectively along with AB. From B, draw lines B₃ and B₄, making 60^o and 120^o angles, respectively, along with AB as in diagram.

From O, the point of intersection of A₁ and B₃, draw a line parallel to AB and intersecting A₂ at F and B₄ at C. From F, draw a line parallel to BC and intersecting B₃ at E. From C, draw a line parallel to AF and intersecting A₁ at D. Sketch a line joining E and D. ABCDEF is the desired hexagon.

Method II

By using a compass, take a point O as the center, a radius equal to the specified length of a side and draw a circle. Along with the same radius and starting from any point on the circle, set off six (6) divisions as A, B, C, D, E

And F on the circle. Join AB, BC, CD, DE, EF and FA. ABCDEF is desired hexagon.