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Topic: Construction
Construct with GeoGebra
“The 7 Basic C&S Constructions with GeoGebra”. Each page includes a video (YouTube and TeacherTube for where YouTube is blocked), a working sample of the construction to be created and a blank GeoGebra page to complete the construction.
Using technology to create constructions normally done by hand helps you to see why we use a compass to complete the constructions.
Geometric Constructions
Animations showing various constructions using a compass, straightedge (i.e. ruler) and a pencil.
NLVM Congruent Triangle Manipulative
Top quality Java app to explore triangle congruency conditions SSS, SAS, AAS and the problems with SSA. User has to build two triangles from given components and show the result has to be (or not in the case of SSA) congruent.
Pictorial Proofs of Euclid’s Elements
Full scan of Oliver Byrne’s 1847 masterpiece: Euclid’s Elements presented in colour pictogram style proofs (proofs with very few words). Pages can be used to give to students to decipher/explain – or as part of an exploration of the idea and history of mathematical proof. See for example http://www.math.ubc.ca/~cass/Euclid/book1/byrne-4.html