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Geometry A
Geometry A

...  I can specify a series of transformations that will carry a given figure onto another.  I can develop an argument for CPCTC based on the definition of congruence in terms of rigid motions.  I can determine if two figures are congruent by determining if their corresponding parts are congruent.  ...
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... Law of Syllogism If p  q, and q  r , then p  r Law of Detachment If p  q, if p is truethen q is true Use the Law of Detachment/Law of Syllogism to draw a conclusion if possible. If not, write No Conclusion. 6. If Jim is Texan, then he is an American. Jim is a Texan. 7. If Rachel lives in Tampa, ...
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... After two hours. the plane flying at 325 miles per hour travels 325 · 2 miles, or 650 miles. Similarly, the plane flying at 300 miles per hour travels 600 miles. The situation is illustrated in the figure. Let b = the distance between the planes after two hours. We can use a north-south line to find ...
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GP 5.5 Inequalities in a Triangle

... 5. A triangle has one side that has a length of 15 and another with a length of 8. Determine the possible lengths of the 3rd side. Small values of x Large values of x ...
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Using these formulas in reverse (algebra is your

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Congruent Triangles

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History of trigonometry

Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics.Systematic study of trigonometric functions began in Hellenistic mathematics, reaching India as part of Hellenistic astronomy. In Indian astronomy, the study of trigonometric functions flowered in the Gupta period, especially due to Aryabhata (6th century CE). During the Middle Ages, the study of trigonometry continued in Islamic mathematics, hence it was adopted as a separate subject in the Latin West beginning in the Renaissance with Regiomontanus.The development of modern trigonometry shifted during the western Age of Enlightenment, beginning with 17th-century mathematics (Isaac Newton and James Stirling) and reaching its modern form with Leonhard Euler (1748).
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