Geometry Construction Reference
from http://whistleralley.com/construction/reference.htm

These are the basics. Use them as tools to build an understanding of higher concepts.
What is construction? Follow this link to learn the rules. Construction is not simply drawing.
About the instruments. If you are not familiar with the drawing instruments, this link has a few tips that might be helpful.

Construction 1
Construct the perpendicular bisector of a line segment, or construct the midpoint of a line segment.
Construction 2
Given a point on a line, construct a perpendicular line through the given point.
Construction 3
Given a point not on the line, construct a perpendicular line through the given point.
Construction 4
Construct the bisector of an angle.
Construction 5
Construct an angle congruent to a given angle.
Construction 6
Construct a line through a given point, parallel to a given line.
Construction 7
Construct an equilateral triangle,