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Notes Section 3.5
Notes Section 3.5

... How to recognize angle conditions that occur with parallel lines.  How to prove that two line are parallel based on given angle relationships. ...
Geometry Chapter 5
Geometry Chapter 5

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Note Template - Garnet Valley School District
Note Template - Garnet Valley School District

... You are climbing Mount Massive in Colorado. You are at an altitude of 11,200 feet. You measure the angle of elevation to a ridge above you to be 29.4°. The distance (along the face of the mountain) between you and the ridge is 6315 feet.  Draw a diagram to represent the situation. ...
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... 1. ______ If l1 and l2 are two distinct lines each parallel to l3, then l1 and l2 (1) are perpendicular to each other (2) intersect but are not perpendicular (3) parallel to each other (4) are the same line as l3 2. ______ The diagonals of a square intersect at the origin. Which transformation would ...
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... Side Angle Side Similarity (Denoted SAS Sim.) If two sides of a triangle are proportional with the corresponding two sides of another triangle, and their included angles are congruent, then the triangles are similar. ...
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Help on Assignment 6

... which contains P and which is parallel to ` (that it is, it does not intersect `). In Hyperbolic geometry there is more than one such line, and in Spherical geometry lines are never parallel. • In Euclidean geometry the sum of angle measures in a single triangle will be exactly 180 degrees, while in ...
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... AN  AE  EN AN  x  17  x AN  (17)  17  (17) AN  51 ...
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Geometry 21st Century Standards and Objectives

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Student Activity DOC - TI Education

Name: Date: Block: ______ Geometry Parallel/Perpendicular Lines, Tri
Name: Date: Block: ______ Geometry Parallel/Perpendicular Lines, Tri

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... relationship between axiom and theorem, for example: (Axiom) 1. Given two distinct points, there exists one and only one line through them. (Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common. 2. LINES AND ANGLES (13) Periods 1. (Motivate) If a ray stands on a line, th ...
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NAME
NAME

< 1 ... 563 564 565 566 567 568 569 570 571 ... 612 >

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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