Circles Part 1: Similarity Intuition
All circles are similar, right? Okay, maybe it’s not given. In fact, it needs to be proven. This proof is yet another that is so easily demonstrated with dynamic math tools (like desmos and geogebra...
View ArticleCircles Part 2: Angle Relationships
Once similarity intuition has been built with circles, we can start getting into more specific relationships with angles and segments. This post will look at using visual information from central...
View ArticleSatellites Spinning Round: Circles Part 3 (Tangents and Incircle)
Inspiration Have you ever wondered how far a satellite is from the planet? Sometimes people think about these objects flying through the sky and rotating around a planet. Such wonders have even...
View ArticleClock Tangents: Circles Part 3b
Recently, there was a post looking at how to use the relationships of segments that are tangent to a circle to calculate more than just congruence. Somewhere, and I’m not sure where, I remember Regan...
View ArticleSegment Similarity: Circles Part 4
So this happens in geometry: Proportional Triangles: http://goo.gl/RDkMQo It relates back to dilations. Transformations Applet: http://ggbtu.be/m125888 The big idea: similar triangles have proportional...
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