Geometry
Explore plane geometry; coordinates and transformations; space and geometry beyond euclid. Concepts and connections are available independently of video coverage.
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Conic sections
Ellipses, parabolas and hyperbolas arise from planar sections of a cone.
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Lines and planes
Linear equations and vector representations describe straight lines and planes.
Rigid motions
Translations, rotations and reflections preserve Euclidean distances.
Triangle similarity
Similar triangles have equal corresponding angles and proportional corresponding sides.
Angles
An angle measures rotation between rays sharing an endpoint.
Area and volume
Area measures planar regions and volume measures spatial regions in corresponding squared or cubed units.
Knowledge connections
- Lines and planes · Related · Map context
- Rigid motions · Related · Map context
- Triangle similarity · Prerequisite · Map context