Geometry section of MathBitsNotebook.com

GeometrySmallLogo

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

Terms of Use | Contact Person: Donna Roberts

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
and is not considered "fair use" for educators. Please read the "Terms of Use".

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. Others also possible.
LESSONS:
* calculator link
Constructions - Compass and Straightedge
Construction Information (classic info, required construction, plus(+), FYI)
Constructions: Tools and Rules

Basic Constructions
*
*
*
*
*
*

Parallel Lines
*
Construction: Parallel Through a Point (application of constructions)
Construct: Divide a Segment (Partition) (application of constructions)

Triangles
*
Construct; Triangle with Given Lengths (scalene, isosceles, equilateral)
Construct: SAS, ASA, SSS (application of constructions)

Angles
Construct: Angles - 90º, 60º, 45º, 30º (application of constructions)
See more about "angle constructions" under Construct: Rotations

Points of Concurrency (in triangles)
*
*
*
*
Circumcenter - Concurrent Perp. Bis. (& connection to circumscribed circle)
*
Construct: Circle Inscribed in a Triangle
*
Incenter - Concurrent Angle Bisectors (& connection to inscribed circle)

Transformations
*
*
*
*
*
Construct: Dilations (similar triangles, scale factors and center)

Circles
*
Construct: Regular Hexagon (inscribed in circle)
*
Construct: Equilateral Triangle (inscribed in circle)
*
Construct: Square (given one side, inscribed in circle)
+
Construct: Locate the Center of the Circle (application of constructions)

Other Construction Tools (glimpses only)
*



PRACTICE:

Practice with More Constructions ("Triangles", "Angles", divide segment)



Practice with Constructions and Reflections

Practice with Circle Constructions