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Geometrical Definitions and Properties
Geometrical Definitions and Properties

MA.912.G.4.5 - Apply theorems involving segments divided
MA.912.G.4.5 - Apply theorems involving segments divided

11 December 2012 From One to Many Geometries Professor
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Spherical Triangles and Girard`s Theorem

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Triangles

... Obtuse triangle Learning Objectives: • Classify triangles according to the measures of their sides. • Determine that the sum of the angles in a triangle equals 180º. • Find the perimeter of a triangle. ...
5-4 Inverses Contrapositives and Indirect Reasoning
5-4 Inverses Contrapositives and Indirect Reasoning

... Identify the two statements that contradict each other. I. P, Q, and R are coplanar. Two statements contradict each other II. P, Q, and R are collinear. when they cannot both be true III. m PQR = 60 at the same time. Examine each pair of statements to see whether they contradict each other. II and I ...
TEST DATE (on or about)
TEST DATE (on or about)

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parallel lines

Vocabulary - Houston ISD
Vocabulary - Houston ISD

... parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems. ...
cond, bicond, ded and algebra
cond, bicond, ded and algebra

... Images are copyright of, and used with permission from Clipart.com, © [2010], Jupiterimages Corporation, a wholly owned subsidiary of Jupiter media Corporation. All rights reserved. ...
Basic Geometry
Basic Geometry

Unit Three Review Answers
Unit Three Review Answers

WATCHMod7Lesson2VideoNotesPart2
WATCHMod7Lesson2VideoNotesPart2

... Angles and Parallel Lines When parallel lines get crossed by another line a line called a transversal, several special angles are formed. These angles can be made into pairs of angles which have special names. When lines are parallel alternate interior and corresponding angles are CONGRUENT. Below, ...
3.2 Parallel Lines Angles
3.2 Parallel Lines Angles

... If a transversal is perpendicular to two parallel lines, all eight angles are congruent. ...
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Angles of a Polygon

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Feb 10 -AG - Proofs.notebook

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Chapter 1.4 Notes: Measure and Classify Angles

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exam review - ICHSPre-Calc

C* H B* A* A B C
C* H B* A* A B C

... Altitudes and the Orthic Triangle of Triangle ABC Given a triangle ABC with acute angles, let A*, B*, C* be the feet of the altitudes of the triangle: A*, B*, C* are points on the sides of the triangle so that AA* BB*, CC* are altitudes. Then we have proved earlier that the altitudes are concurrent ...
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CPCTC – Corresponding Parts of Congruent Triangles are

... Isosceles Triangle – triangle with at least two congruent sides Legs – the congruent sides of an isosceles triangle ...
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Export - CPalms

Previous Papers
Previous Papers

Lesson 4.4 Are There Congruence Shortcuts? notes
Lesson 4.4 Are There Congruence Shortcuts? notes

Chapter 7
Chapter 7

5.3 The Isosceles Triangle Theorems
5.3 The Isosceles Triangle Theorems

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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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