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Triangle congruence and similarity
Triangle congruence and similarity

... • Finally, this approach makes it possible to discuss the similarity of curves (such as circles and parabolas), which could not be done under the traditional definition of similarity because it relied on equal angles and proportional sides. One of the consequences of this change is the need for som ...
Gianluca
Gianluca

... 1. To draw a line through two points 2. To extend a given line 3. To draw a circle with given center through a given point 4. All right angles are equal 5. If a line crossing two other lines makes the interior angles on the same side less than two right angles, then these two lines will meet on that ...
All About Polygons and Quadrilaterals
All About Polygons and Quadrilaterals

Discovering and Proving Triangle Properties
Discovering and Proving Triangle Properties

... Making and labeling a diagram is a good technique to help you think about a problem. In this case, your drawing will show you that there is only one possible triangle with an altitude of the specific length you drew and the angle you drew between the triangle’s base and another side. To explain why, ...
Given: ABCD is a parallelogram
Given: ABCD is a parallelogram

Geometry Model Problems Test (California Essential Standards)
Geometry Model Problems Test (California Essential Standards)

DOC
DOC

Chapter 1 - South Henry School Corporation
Chapter 1 - South Henry School Corporation

Discovering and Proving Triangle Properties
Discovering and Proving Triangle Properties

Geometry B - Spring Lake Public Schools
Geometry B - Spring Lake Public Schools

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Document

Acute Angles
Acute Angles

study guide for geometry!
study guide for geometry!

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Section 8.4

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Lesson 10: Obtuse Scalene Triangles - Logo-Math
Lesson 10: Obtuse Scalene Triangles - Logo-Math

Angles and Their Measure
Angles and Their Measure

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- SlideBoom

Chapter 6 Quiz 2 – Section 6C – Review Sheet
Chapter 6 Quiz 2 – Section 6C – Review Sheet

HERE
HERE

... The Law of Cosines can be used to describe a relationship between a, b, and c for any triangle with sides of length a, b, and c. If, for triangles with sides a, b, and c (where c is the length of the longest side), a2 + b2 = c2 holds for right triangles and only right triangles, the question arises ...
Show all work on a separate sheet of work paper
Show all work on a separate sheet of work paper

Angle - RPDP
Angle - RPDP

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8.4

Circle Theorems
Circle Theorems

Isosceles Triangles
Isosceles Triangles

... Here you’ll learn the definition of an isosceles triangle as well as two theorems about isosceles triangles: 1) The angle bisector of the vertex is the perpendicular bisector of the base; and 2) The base angles are congruent. What if you were presented with an isoceles triangle and told that its bas ...
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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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