After doing this	Your work should look like this
Start with the triangle ABC which we will copy.
1.  Mark a point P that will be one vertex of the new triangle
2.  Set the compass width to the length of one side of the original triangle ABC. In this example we use AC.
3.  With the compass point on P, make an arc near where the next vertex of the triangle will be.
4.  Mark a point R on the arc. This will become the next vertex of the new triangle. PR is equal in length to AC
5.  Use the compass to measure the length of the side AB in the original triangle.
6.   Place the compass point on P and make an arc in the vicinity of where the third vertex of the triangle will be. All points along this arc are the distance AB from P, but we do not yet know exactly where on this arc the the vertex is.
7.  Use the compass to measure the length of the side BC in the original triangle
8.  From point R, draw an arc crossing the first. where these intersect is the vertex Q of the triangle
9.  Finally, draw the three sides of the new triangle PQ ,PR, and QR.
10.  Done. The blue triangle PQR is congruent to the triangle ABC.

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