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2.8 Vertical Angles
2.8 Vertical Angles

Triangles Review Multiple Choice
Triangles Review Multiple Choice

Project: Take two points x and y1 distance 1 apart
Project: Take two points x and y1 distance 1 apart

Geometry Progression - Tools for the Common Core Standards
Geometry Progression - Tools for the Common Core Standards

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TRIANGLES ON THE LATTICE OF INTEGERS Andrew Roibal and

... sides of length b, n, h and c2, m2, h (the shared side being h). The triangle represented in Figure 6 is constructed using three Pythagorean triangles. We can observe that the sum of the heights of two Pythagorean triangles has to be equivalent to the height of the third. The case is similar for the ...
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Day 2 – Parallel Lines

Geometry Fall 2015 Lesson 017 _Using postulates and theorems to
Geometry Fall 2015 Lesson 017 _Using postulates and theorems to

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Triangle Congruence

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Geometry Fall 2014 Lesson 017 _Using postulates and

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Application of Trigonometry

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Blank - PVPHS Garnet

... From Chapter 4: Two figures are congruent if and only if a rigid motion or a composition of rigid motions maps each part of a figure onto the other.  A rigid motion maps each part of a figure to a corresponding part of its image.  Because rigid motions preserve length and angle measure, correspond ...
Transformations on the TI-83/84 Graphing
Transformations on the TI-83/84 Graphing

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Course Outline for Precalculus_Mathematics

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7-5 Parts of Similar Triangles p504 1

How Tall is This?
How Tall is This?

... Students know the definitions of the basic trigonometric functions defined by the angles of a right triangle Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side ...
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Angles and Lines

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A Story of Functions: A Curriculum Overview for Grades 9-12

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Line Pair Conjecture If two angles form a linear pair, then the

... If two parallel lines are cut by a transversal, then corresponding angles are congruent. (F-theorem) Alternate Interior Angles Conjecture If two parallel lines are cut by a transversal, then alternate interior angles are congruent. (Z-theorem) Triangle Sum The sum of the measures of the angles in ev ...
Lesson
Lesson

... – If two pairs of corresponding angles and the included sides of two triangles are congruent, then the triangles are congruent (ASA) – If two pairs of corresponding angles and a pair of corresponding non-included sides of two triangles are congruent, then the triangles are congruent (AAS) ...
Practice C Classifying Triangles 9-6
Practice C Classifying Triangles 9-6

Parallel Lines and Transversals
Parallel Lines and Transversals

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Geometrical Constructions 1

Congruent Triangles: AAS and ASA Theorems Guided Lesson
Congruent Triangles: AAS and ASA Theorems Guided Lesson

European Girls` Mathematical Olympiad 2012—Day 1 Solutions
European Girls` Mathematical Olympiad 2012—Day 1 Solutions

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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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