This .pdf contains illustrated step-by-step instructions for using a compass and straightedge to create all of the constructions found in the Common Core Math standards:
- Copy a segment
- Copy an angle
- Construct the perpendicular bisector of a segment
- Construct an angle bisector
- Construct a segment perpendicular to a given segment, through a given point
- Construct a segment parallel to a given segment, through a given point
- Inscribe a regular hexagon in a circle
- Inscribe an equilateral triangle in a circle
- Inscribe a square in a circle
- Construct a triangle’s circumcenter
- Construct a triangle’s incenter
- Construct a segment tangent to a given circle, through a point not on the circle
Check out my Constructions design mini-project, available for download at
CCSS Standards Addressed:
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Construct a tangent line from a point outside a given circle to the circle.