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Chapter 9 Quizzes
Chapter 9 Quizzes

... A ship steamed 10 km in one direction, turned and steamed 12 km in another direction, and then returned 18 km back to its original position. The captain then drew the ship’s course on a nautical chart and she saw that the ship’s path was a triangle. Was it an acute, obtuse, or right triangle? Was th ...
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... when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. G.CO.10: Prove theorems about triangles. Theorems include: measu ...
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... If two sides and a non-included angle of one triangle are congruent to two sides and a nonincluded angle of another triangle, then the triangles are congruent. ...
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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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