Analytic Geometry
Construction Project
Worth a Test Grade
Due on Friday, October 9th, 2015
The idea of construction in geometry has always been an important one. Constructions with a compass and straightedge
have long been used to explain various theorems that are studied in geometry classes.
Constructions are also part of the standards that are addressed on the End of Course Test (EOC) for CCGPS Analytic
Geometry. This project is designed to help prepare students for the EOC and also increase their understanding of the
material. The standards addressed are G.CO.12, G.CO.13, G.C.3 and G.C.4. These standards are available online and can
be accessed https://www.georgiastandards.org/Georgia-Standards/Pages/Math-9-12.aspx.
There are 12 constructions to be addressed in the project.
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Construct a congruent segment http://www.youtube.com/watch?v=BDnoX4MiJtc
Construct a congruent angle http://www.youtube.com/watch?v=AkvNo6PQsRs
Construct the perpendicular bisector of a segment http://www.youtube.com/watch?v=5bvjnleMn5A
Construct the angle bisector http://www.youtube.com/watch?v=lIwvSzfUkOY
Construct a line parallel to a given line through a point not on the line http://youtu.be/X4S4NBucUDs
Construct a line perpendicular to a given line through a point not on the line
http://www.youtube.com/watch?v=Yn8y5h8i0IY&feature=player_detailpage
Construct a line tangent to a circle from a point outside the circle
http://www.youtube.com/watch?v=drb1gjNFrbE
Construct an equilateral triangle http://www.youtube.com/watch?v=t-ZtoNhEYWQ&feature=player_detailpage
Construct a square http://www.youtube.com/watch?v=sqEiFKsPBtg&feature=player_detailpage
Construct a regular hexagon that is inscribed in a circle
http://www.youtube.com/watch?feature=player_detailpage&v=USq_4tthP5Q
Construct a circle given three points on the circle (i.e. circumscribed circle)
http://www.youtube.com/watch?feature=player_detailpage&v=1iwWhMuPk-c
Construct a circle that is inscribed in a triangle http://www.youtube.com/watch?v=NRzlh6KM0Lg
Part 1: Each construction listed above is to be completed using only a compass, a straightedge, and a pencil. Each
construction is to be completed on the provided project worksheet. All constructions should have the appropriate
compass arc markings. In addition to the constructions themselves, students are to list the steps involved in making the
construction. The instructions should be thorough, but also be written so that another person could follow the directions
and have success making the drawing.
Part 2: Choose any of the twelve constructions you made using a compass, straightedge, and pencil. Create, on a separate
sheet of clean paper, a geometric construction using an alternate method (paper folding, dynamic geometric software,
string, reflective devices). Include the steps you used to create the construction using this method.
You may find other sites that may be good references. (Google and Bing are great for this!)
The project is due on Friday, October 9th, 2015 and is worth a test grade.
Analytic Geometry
Construction Project Score Sheet
Name: _________________________________
Remember that the project is due at the beginning of the period on Friday, October 9th, 2015.
Part 1: Each construction (with written instructions) is worth 8 points for a possible total of 96 points.
 Neatness – 1 point possible
 Accuracy of Construction with Precise Construction Markings – 4 points possible
o No credit will be given if construction markings are missing.
 Accuracy of Written Construction Steps – 3 points possible
Congruent Segment
____________________
Congruent Angle
____________________
Perpendicular Bisector of a segment
____________________
Angle Bisector
____________________
Line Parallel to a given line through a point not on the line
____________________
Line Perpendicular to a given line through a point not on the line
____________________
Line Tangent to a Circle from a point outside the circle
____________________
Equilateral Triangle
____________________
Square
____________________
Regular Hexagon that is inscribed in a circle
____________________
Circle given three points on the circle (i.e. circumscribed circle)
____________________
Circle that is inscribed in a triangle
____________________
Total (out of 96)
____________________
Part 2: Choose any one of the twelve constructions you made using a compass, straightedge, and pencil. Create, on a
separate sheet of clean paper, a geometric construction using an alternate method (paper folding, dynamic
geometric software, string, reflective devices). Describe the alternate method you chose and list the steps you
used to create the construction. The construction using an alternate method is worth 4 points.
Total (out of 4)
TOTAL PROJECT SCORE (Test Grade):
Analytic Geometry
____________________
__________________________
Name: _______________________________________
Constructions Project
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Instructions for each construction should be written or typed and attached to this page.