Construction Project
Using just a straight edge and compass, complete the following constructions.
Basic Constructions
1. Copy a segment.
2. Copy an angle.
3. Bisect an angle.
Parallel and Perpendicular Constructions
4. Construct a perpendicular bisector of a line segment
5. Construct a line perpendicular to a given line through a given point.
6. Construct a line parallel to a given line through a given point.
Triangles
7. Construct an equilateral triangle.
8. Construct the translation of a triangle.
Polygons inscribed in circles
9. Construct a square inscribed in a circle.
10. Construct an isosceles triangle inscribed in a circle.
11. Construct a regular hexagon inscribed in a circle.
The following websites, along with the online textbook and your notes will explain how to do
some of the constructions:
1. http://whistleralley.com/construction/reference.htm
2. http://www.mathopenref.com/tocs/constructionstoc.html
3. http://jwilson.coe.uga.edu/EMT668/EMT668.Folders.F97/Anderson/geometry/geometr
y1project/construction/construction.html
Name_______________________________________________ Per_______
RUBRIC
Basic
Constructions
(1-3)
Excellent
Good
Fair
(5 points)
All constructions
are complete and
accurate.
(4 points)
All
constructions
are complete,
but one or two
are inaccurate.
(3 points)
All
constructions
are complete,
but three are
inaccurate.
Parallel and
Perpendicular
Constructions
(4-6)
All constructions
are complete and
accurate.
Triangles
(7-8)
All constructions
are complete and
accurate.
Polygons
inscribed in
Circles
(9-11)
All constructions
are complete and
accurate.
Presentation
A compass and
straightedge are
used throughout.
Compass marks
and arcs are
evident.
Constructions are
presented in
order.
Incomplete
(2 or 0 points)
All
constructions
are complete,
but inaccurate.
Or
Constructions
are not
complete.
All
All
All
constructions
constructions constructions
are complete,
are complete, are complete,
but one or two but three are but inaccurate.
are inaccurate. inaccurate.
Or
Constructions
are not
complete.
All
All
All
constructions
constructions constructions
are complete,
are complete, are complete,
but one or two but three are but inaccurate.
are inaccurate. inaccurate.
Or
Constructions
are not
complete.
All
All
All
constructions
constructions constructions
are complete,
are complete, are complete,
but one or two but three are but inaccurate.
are inaccurate. inaccurate.
Or
Constructions
are not
complete.
A compass and Freehand
Freehand lines
straightedge
lines and arcs and arcs are
are used
are evident.
evident.
throughout.
Constructions Or
Constructions are presented Project was not
are presented
in order.
turned in.
in order.
1. Copy a Segment:
2. Copy an angle:
3. Bisect an angle:
4. Construct a perpendicular bisector of a line segment
5. Construct a perpendicular line from a given point to a given line
6. Construct a line parallel to a given line through a given point.
7. Construct an equilateral triangle.
8. Construct triangle A’B’C’ so that it is a translation of triangle ABC
B
A’
A
C
9. Construct a square inscribed in a circle
10. Construct an isosceles triangle inscribed in a circle
11. Construct a regular hexagon inscribed in a circle