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Mid-Term Review Part II
Mid-Term Review Part II

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Parent Contact Information

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... measure the height of the Sears tower in Chicago, you could measure a 12-foot light pole and measure its shadow. If the length of the shadow was 2 feet and the shadow of the Sears Tower was 242 feet, what is the height of the Sears Tower? ...
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... are similarity transformations. Given ∆ABC, consider ∆ ABC to be the image of a similarity transformation of ∆ABC. A geometric similarity transformation is an angle-preserving function such that all distances are scaled by a constant ratio, k  0. For the given similarity transformation, the leng ...
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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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