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Geometry 5.6a, Hinge Theorem & Converse of the Hinge Theorem

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First published at 12:25 UTC on September 25th, 2018.

JoAnn's School

JoAnnsSchool

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We discuss the Hinge Theorem and the Converse of the Hinge Theorem, and how it relates to the hinge of a door. We do an indirect proof with the Converse of the Hinge Theorem and we compare side lengths of two triangles using the Hinge Theorem. We find the range of values for a variable and combined inequalities. We look at a tether ball as an example of the Hinge Theorem. Then we do a two-column proof before reviewing the Hinge Theorem and it's Converse.

Geometry 5.4b, Construct the Midsegment of a triangle with a compass
https://youtu.be/j8Y9crWqBcg

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

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