• Introduction to Euclidean Construction - tools and rules
• Printable constructions worksheets

• Copy a line segment
• Sum of line segments
• Difference of two line segments
• Perpendicular bisector of a line segment
• Divide a line segment into n equal segments
• Perpendicular to a line at a point on the line
• Perpendicular to a line from an external point
• Perpendicular to a ray at its endpoint
• A parallel to a line through a point (angle copy method)
• A parallel to a line through a point (rhombus method)
• A parallel to a line through a point (translated triangle method)

• Copy an angle
• Bisect an angle
• Construct a 30° angle
• Construct a 45° angle
• Construct a 60° angle
• Construct a 90° angle (right angle)
• Sum of n angles
• Difference of two angles
• Suppplementary angle
• Complementary angle
• Constructing  75°  105°  120°  135°  150° angles and more

• Copy a triangle
• Triangle, given all 3 sides (SSS)
• Triangle, given one side and adjacent angles (ASA)
• Triangle, given two sides and included angle (SAS)
• Triangle, given two sides and non-included angle (AAS)
• Isosceles Triangle, given base and one side
• Isosceles Triangle, given base and altitude
• Isosceles Triangle, given leg and apex angle
• 30-60-90 right triangle given the hypotenuse
• Equilateral Triangle
• Midsegment of a Triangle
• Medians of a Triangle
• Altitudes of a Triangle
• Altitudes of a Triangle (outside case)

• Right Triangle, given hypotenuse and one leg (HL)
• Right Triangle, given both legs (LL)
• Right Triangle, given hypotenuse and one angle (HA)
• Right Triangle, given one leg and one angle (LA)

• Incenter of a Triangle
• Circumcenter of a Triangle
• Centroid of a triangle
• Orthocenter of a Triangle

• Incircle (inscribed circle) of a Triangle
• Circumcircle (circumscribed circle) of a Triangle

• Constructing the center of a circle or arc
• Finding the center of a circle or arc with any right-angled object
• Tangents to a circle through an external point
• Tangent to a circle through a point on the circle
• Tangents to two circles (external)
• Tangents to two circles (internal)
• Circle through three points

• Finding the foci of a given ellipse
• Drawing an ellipse with string and pins

• Square given one side
• Square inscribed in a circle
• Hexagon given one side
• Hexagon inscribed in a circle
• Pentagon inscribed in a circle