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7. 5 Congruent Triangles to the Rescue
7. 5 Congruent Triangles to the Rescue

... figure are congruent, and then to use those congruent triangles to make other observations about the geometric figures based on the concept that corresponding parts of congruent triangles are congruent. A secondary purpose of this task is to allow students to continue to examine what it means to ...
Reconstructing a Simple Polygon from Its Angles
Reconstructing a Simple Polygon from Its Angles

Multiple Choice
Multiple Choice

... 4. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth. a. 11 b. 7.8 c. 61 d. 14.9 5. A high school soccer team is going to Columbus to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium ...
Reconstructing a Simple Polygon from Its Angles
Reconstructing a Simple Polygon from Its Angles

... every vertex may seem to be far too much information and the reconstruction problem may thus seem easily solvable by some greedy algorithm. Before we actually present the triangle witness algorithm that solves the reconstruction problem, we show that some natural greedy algorithms do not work in gen ...
Music
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... Non-Euclidean Geometry ...
PARALLELOGRAMS AND RECTANGLES
PARALLELOGRAMS AND RECTANGLES

... given two adjacent sides – AB and AD in the figure to the right. Draw a circle with centre B and radius AD, and another circle with centre D and radius AB. The circles intersect at two points – let C be the point of intersection within the non-reflex angle BAD. Then ABCD is a parallelogram because ...
Lesson 28: Properties of Parallelograms
Lesson 28: Properties of Parallelograms

polygon
polygon

Lesson 28: Properties of Parallelograms
Lesson 28: Properties of Parallelograms

similar polygons
similar polygons

Geometry 1st Grading Period Notes 083111 Pointers Topics History
Geometry 1st Grading Period Notes 083111 Pointers Topics History

Kyra Kopinski
Kyra Kopinski

... Once students are able to prove that two lines are parallel (they should have done this prior to this lesson), they are able to explore two parallel lines that are cut by a transversal. There are several types of angles that are formed when this occurs. Using GSP, we will discover these angles and t ...
0612ExamGE
0612ExamGE

Similar - IGhelp
Similar - IGhelp

Unit 3 Review Packet 2 1. Find the sum of the measures of the
Unit 3 Review Packet 2 1. Find the sum of the measures of the

Angles and Their Measures
Angles and Their Measures

Geometry_Grade 912 Chords and Angles
Geometry_Grade 912 Chords and Angles

0810ExamGE
0810ExamGE

Chapter 5 - TeacherWeb
Chapter 5 - TeacherWeb

Section 4.1
Section 4.1

Slide 1
Slide 1

similar polygons
similar polygons

IBC Geometry
IBC Geometry

Find x. Round angle measures to the nearest degree and side
Find x. Round angle measures to the nearest degree and side

... constellation forms a triangle that has measurements shown on the diagram. Use the Law of Sines to determine distance between A and C. ...
12.2 Conditions for Congruent Triangles
12.2 Conditions for Congruent Triangles

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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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