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4.2 Congruence Proof and Isosceles Triangles

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Chapter 7 Geometric Inequalities

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CK-12 Geometry: Triangle Congruence Using ASA, AAS

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Worked Homework Examples

... a. How do the side lengths of the original figure compare to the side lengths of the image? b. How does the perimeter of the original figure compare to the perimeter of the image? c. How do the angle measures of the original figure compare to the angle measures of the image? d. How does the area of ...
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Teacher`s Guide 7.1

... 90°), and obtuse angles (between 90° and 180°). Point out that there are two scales on a protractor because the amount of rotation can be measured clockwise or counter-clockwise. Students should practise choosing the correct scale by deciding whether the angle is acute or obtuse, then saying whether ...
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Contents 1 2 9

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Lesson 4-3 Congruent Triangles

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Indirect Proof and Inequalities in One Triangle Indirect Proof and

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m7 7-2 angles - Gallatin Gateway School

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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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