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CHAPTER 1 Unit 1: Transformations, Congruence and Similarity
CHAPTER 1 Unit 1: Transformations, Congruence and Similarity

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... three angles involved are the angles of triangle ABC). Thus the opposite angles of CEOD are supplementary, and point O must lie on the circle through C, E, and D. Note. This is a relatively easy problem. If students need a hint, it is usually enough to suggest using cyclic quadrilaterals and the cri ...
than a hundred years ago The American Mathematical Monthly
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... Quickies, by C. W. Trigg. Taking AB = a, AC = b, BC = c and denoting BD = x, we obtain as above a² = cx and b² = c(c - x), which perhaps more transparently leads to the same identity. In a private correspondence, Dr. France Dacar, Ljubljana, Slovenia, has suggested that the diagram on the right may ...
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Summary of Objectives

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Triangle

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