Measurements, Transformations and the Application axiom
Measurements along lines
📺 Overview of the first two axioms
📺 Instructions for the testing the measurement axiom assignment
✍ Testing the measurement axiom assignment handout (this was assigned Sept 27)
Solutions as a video
Solutions as a file
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Transformations and application
📺 Discussion of the application axiom (axiom 3)
📺 Instructions and discussion of the assignment on testing the application axiom in the x-y plane
📺 Properties of reflections, and more discussion of the assignment on testing the application axiom
✍ Testing the application axiom assignment handout (this was assigned Sept 29)
Solutions as a video
Solutions as a file
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More transformations
✍ Practice with transformations handout
📺 Discussion and solutions of the transformations handout.
✍ Multi-step transformations assignment (this will be assigned Oct 15)
Solutions as a video: part 1 (with details of two reflection properties); part 2 (the rest of the assignment)
Solutions as a file
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Circle inversions
📺 Definition and how to invert a point in the unit circle
📺 How to invert a point in any circle
📺 What happens to lines and circles under inversion
📺 What happens to angles under inversion
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Circle inversions and the upper half plane hyperbolic model
📺 Circle inversions and hyperbolic lengths--congruence transformations in the upper half plane hyperbolic model
📺 Circle inversions and application
📺 Assignment instructions
✍ Assignment https://www.geogebra.org/classroom/dw4vdjpf
(on Geogebra--you will need to make a free Geogebra account) (This was posted Oct 12)
Solutions as a video
✍ Summary assignment (circle inversions, reflections, the hyperbolic half-plane and SAS) (This was assigned Oct 13)
Solutions as a video: 1 and 2, 3 and 4, 5 and 6, SAS, ASA
Solutions as a file