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Constructions
Introduction to Euclidean Construction - tools and rules
Printable constructions worksheets
Lines
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)
Angles
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
Triangles
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 Triangles
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)
Triangle Centers and Circles
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
Circles, Tangents
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
Ellipses
Finding the foci of a given ellipse
Drawing an ellipse with string and pins
Polygons
Square given one side
Square inscribed in a circle
Hexagon given one side
Hexagon inscribed in a circle
Pentagon inscribed in a circle
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