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Constructing 2D Shapes
Constructing 2D Shapes

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Chapter 4: Discovering and Proving Triangle Properties Note Sheet

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Circle Angles Arcs Circumference Area Review with notes

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PROOFS Math 174 May 2017 I. Introduction. In the natural sciences

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lesson 1.5

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(2) The shape made by the student is not a triangle because the

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Scale factor – ratio of the image to the preimage

... Understand congruence and similarity using physical models, transparencies, or geometry software. 8.G.1- Verify experimentally the properties of rotations, reflections, and translations: 1.a – Lines are taken to lines, and line segments to line segments of the same length. 1.b – Angles are taken to ...
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File

...  Have students draw a segment and two obtuse angles. Have them try to construct a triangle with the segment included by the two angles. Have students discuss any problem with the construction. What theorem or corollary explains the problem?  Have students draw three angles. Have them try to constr ...
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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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