Geometry section of MathBitsNotebook.com

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Constructions and Concurrencies
 Geometry Outline | MathBitsNotebook.com | MathBits' Teacher Resources

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Note: The constructions on this page are also linked from pages within this site
that discuss the coordinating topics.

blacktriangle indicates compatibility to NY Next Generation Math Standards (NGMS)
* Constructions specifically stated, or referenced, in NGMS, but also allowing for possibility of others.
+ NGMS topics suggested for Geometry coherence to increase rigor, but not included in state assessments.
LESSONS:
* calculator link
Constructions - Compass and Straightedge
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Construction Information (classic info, required construction, plus(+), FYI)
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 Constructions: Tools and Rules
Basic Constructions
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Parallel Lines
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 Construction: Parallel Through a Point (application of constructions)
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 Construct: Divide a Segment (Partition) (application of constructions)
Triangles
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 Construct; Triangle with Given Lengths (scalene, isosceles, equilateral)
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Construct: SAS, ASA, SSS (application of constructions)
Angles
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 Construct: Angles - 90º, 60º, 45º, 30º (application of constructions)
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 See more about "angle constructions" under Construct: Rotations
Points of Concurrency (in triangles)
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Circumcenter - Concurrent Perp. Bis. (& connection to circumscribed circle)
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 Construct: Circle Inscribed in a Triangle
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Incenter - Concurrent Angle Bisectors (& connection to inscribed circle)
Transformations
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Construct: Dilations (similar triangles, scale factors and center)
Circles
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Construct: Regular Hexagon (inscribed in circle)
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Construct: Equilateral Triangle (inscribed in circle)
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Construct: Square (given one side, inscribed in circle)
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Construct: Tangent to Circle at Point ON Circle (application of constructions)
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Construct: Tangents to Circle from Point OUTSIDE Circle (coherence)
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Construct: Locate the Center of the Circle (application of constructions)
Other Construction Tools (glimpses only)
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PRACTICE:
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Practice with More Constructions ("Triangles", "Angles", divide segment)
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 Practice with Constructions and Reflections
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 Practice with Circle Constructions