After doing this	Your work should look like this
	Start with a line segment PQ that we will copy.
Step 1	Mark a point R that will be one endpoint of the new line segment.
Step 2	Set the compass point on the point P of the line segment to be copied.
Step 3	Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.
Step 4	Without changing the compass width, place the compass point on the the point R on the line you drew in step 1
Step 5	Without changing the compass width, Draw an arc roughly where the other endpoint will be.
Step 6	Pick a point S on the arc that will be the other endpoint of the new line segment.
Step 7	Draw a line from R to S.
Step 8	Done. The line segment RS is equal in length (congruent to) the line segment PQ.

Proof

The proof of this construction is trivial. Refer to the figure above in step 8.

Constructions pages on this site

Lines

• Introduction to constructions
• List of printable constructions worksheets
• Copy a line segment
• Parallel line through a point
• Perpendicular bisector of a line segment
• Perpendicular from a line at a point
• Perpendicular from a line through a point
• Perpendicular from endpoint of a ray
• Divide a segment into n equal parts

Angles

• Bisecting an angle
• Copy an angle
• Construct a 30° angle
• Construct a 45° angle
• Construct a 60° angle
• Construct a 90° angle (right angle)
• Constructing  75°  105°  120°  135°  150° angles and more

Triangles

• Copy a triangle
• Isosceles triangle, given base and side
• Isosceles triangle, given base and altitude
• Equilateral triangle
• Triangle medians
• 30-60-90 triangle, given the hypotenuse
• Triangle, given 3 sides (sss)
• Triangle, given one side and adjacent angles (asa)
• Triangle, given two sides and included angle (sas)
• Incircle of a triangle
• Circumcircle of a triangle

Triangle Centers

• Triangle incenter
• Triangle circumcenter
• Triangle orthocenter
• Triangle centroid

Circles, Arcs and Ellipses

• Finding the center of a circle
• Circle given 3 points
• Tangent at a point on the circle
• Tangents through an external point
• Focus points of a given ellipse

Polygons

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

Non-Euclidean constructions

• Construct an ellipse with string and pins
• Find the center of a circle with any right-angled object