How would you draw a regular pentagon?

Answer 1

*Note that it is assumed you know what the terms diameter, perpendicular, bisect/bisection and intersection mean in relation to geometry. If not, they are explained in the discussion area. To construct a regular pentagon using a compass and ruler (a longer, but more precise method): # Draw a circle in which to inscribe the pentagon and mark the center point O. # Choose a point A on the circle; this will be one vertex of the pentagon. Draw the diameter line through O and A. # Construct a line perpendicular to the line OA passing through O. Mark its intersection with one side of the circle as the point B. # Construct the point C as the midpoint of O and B. # Draw a circle centered at C through the point A. Mark its intersection with the line OB(inside the original circle) as the point D. # Draw a circle centered at A through the point D. Mark its intersections with the original circle as the points E and F. # Draw a circle centered at E through the point A. Mark its other intersection with the original circle as the point G. # Draw a circle centered at F through the point A. Mark its other intersection with the original circle as the point H. # Construct the regular pentagon AEGHF. To construct a regular pentagon using a protractor (less time, but not as accurate): # Make a short line. This will be one side of the pentagon. Label the ends A and B # Place the baseline of the protractor on this line, with the centre at A. # Mark the point of 108o with a dot. # Make another line which starts at A, is the same length as AB and goes towards the dot. # Repeat the use of the protractor on the newest line you have drawn three more times. The final line should meet up with B.