The word construction in geometry has a very specific meaning: the drawing of geometric items such as lines and circles using only compasses and straightedge or ruler. Very importantly, you are not allowed to measure angles with a protractor, or measure lengths with a ruler.
These are the basic geometric constructions you are going to construct:
- Copying a segment, segment addition and difference of two line segments
- Segment bisector
- Copying an angle (congruent angle)
- Angle bisector
- A line perpendicular to a given line through a point not on the line.
- A line perpendicular to a given line through a point on the line.
- A line parallel to a given line through a point not on the line.
- Equilateral triangle inscribed in a circle
- Regular hexagon inscribed in a circle
Other geometric shapes or figures, such as right triangles or equilateral triangles, can be constructed using these seven basic constructions.