TOPICS
This page:
construction/locus
About Levels
of Difficulty
Geometry
lines/angles
triangles
quadrilaterals
polygons
circles
perimeter, area,
volume
similar/congruent
right triangles
transform/symmetry
construction/locus
coordinate geometry
modeling/applications
Browse all
Geometry
Problems
Geometry
Home
About the
PoW Library


Construction, Locus

Constructions using straightedge and compass are an important part of
every standard geometry curriculum. The solutions to problems in this
section require students to describe the process of construction and/or
the result of a series of constructions.
 Related Resources

Interactive resources from our Math Tools project:
Geometry: Construction and Loci
The closest match in our Ask Dr. Math archives:
High School: Constructions
NCTM Standards:
Geometry Standard for Grades 912
Access to these problems requires a Membership.

A Carpenter's Trisection
 Annie Fetter

Geometry, difficulty level 3. Explain whether or not the given method of trisecting an angle, using only a carpenter's square, really works.
... more>>

Constructing a Tangent
 Annie Fetter

Geometry, difficulty level 3. Explain why this construction of a tangent works.
... more>>

Off on a Tangent
 Annie Fetter

Geometry, difficulty level 3. Figure out how to construct the required figure.
... more>>

Point P Perambulates
 Annie Fetter

Geometry, difficulty level 3. Find the length of the path of a vertex of an equilateral triangle as that triangle rotates around the inside of a square.
... more>>

Proving PD
 Annie Fetter

Geometry, difficulty level 3. AOD is a diameter of the circle with center O. B is any point on the
circle that isn't A or D. A tangent is drawn to the circle at point B.
A line is drawn through O parallel to AB, meeting the tangent at P.
Prove that PD is a tangent to the circle.
... more>>
Page: 1
