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CONSTRUCTIONS
A construction is a geometric drawing for which only a compass and a straightedge may be used.
GeoGebra can be used to "simulate" a construction, by using only the circle and segment tools.
There are many excellent construction illustrations here:
http://www.zefdamen.nl/CropCircles/Constructions/Constructions_en.htm
COPYING A LINE SEGMENT and AN ANGLE
using GeoGebra: GeoGebra Worksheet: copying a line segment and an angle
BISECTING AN ANGLE
by hand: bisecting an angle
using GeoGebra: GeoGebra Worksheet: bisecting an angle
You need the Geometer's Sketchpad for some of the following files:
bisecting a line segment
Open with Geometer's Sketchpad: See how Geometer's Sketchpad can be used to bisect a segment
Open with Geometer's Sketchpad: See how Geometer's Sketchpad can be used to construct a line parallel to a given line through a given point
construct a line perpendicular to a given line, passing through a given point on the line
Open with Geometer's Sketchpad: See how Geometer's Sketchpad can be used to construct a line perpendicular to a given line, passing through a given point on the line
construct a line perpendicular to a given line, passing through a given point not on the line
Open with Geometer's Sketchpad: See how Geometer's Sketchpad can be used to construct a line perpendicular to a given line, passing through a given point not on the line
Open with Geometer's Sketchpad: See how Geometer's Sketchpad can be used to copy a triangle
an equilateral triangle