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Construction, Locus
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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
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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 9-12
Access to these problems requires a Membership.
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A Carpenter's Trisection
- Annie Fetter
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Geometry, difficulty level 3. Explain whether or not the given method of trisecting an angle, using only a carpenter's square, really works.
... more>>
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Constructing a Tangent
- Annie Fetter
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Geometry, difficulty level 3. Explain why this construction of a tangent works.
... more>>
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Off on a Tangent
- Annie Fetter
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Geometry, difficulty level 3. Figure out how to construct the required figure.
... more>>
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Point P Perambulates
- Annie Fetter
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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>>
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Proving PD
- Annie Fetter
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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>>
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