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Class Notes Week 10
Class Notes Week 10

Chapter 9 Geometry: Transformations, Congruence and Similarity
Chapter 9 Geometry: Transformations, Congruence and Similarity

... A mapping (or transformation T of the plane is a correspondence that has the property that different points go to different points; that is, for two points P , Q we must also have T (P) , T (Q). This is in fact just what a map does: it takes a piece of the surface of the earth and represents it, poi ...
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... impossible since the sum of angles of a triangle should be smaller than π. If l3 does not intersect l4 then l1 , l2 , l3 , l4 bound a quadrilateral with four right angles, which is also impossible (the sum of angles of a quadrilateral should be smaller than 2π). This implies that at least one of the ...
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...  Endpoint: A point marking either end of a line segment.  Equidistant: Two points that are the same distance from a given point.  Hexagon: A polygon with six sides.  Line: An undefined term that extends in one dimension, which is usually represented by a straight line with two arrowheads.  Line ...
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Contents 1 2 9

GEOMETRY This objective will be implemented throughout
GEOMETRY This objective will be implemented throughout

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NJDOE MODEL CURRICULUM PROJECT CONTENT AREA

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Unit 3 Review File - Northwest ISD Moodle

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2nd Unit 3: Parallel and Perpendicular Lines

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EUCLID`S GEOMETRY

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Geometry Competency Test - De La Salle High School

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Unit 1 Review

... ____ 25. a method of creating a figure that is considered to be mathematically precise ____ 26. given three points A, B, and C, B is between A and C if and only if all three of the points lie on the same line, and AB + BC = AC ____ 27. a plane that is divided into four regions by a horizontal line c ...
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All About Geometry

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Vocabulary SOL 6a Perpendicular Line Vertical Angles Adjacent

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Duality (projective geometry)

In geometry a striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this concept. There are two approaches to the subject of duality, one through language (§ Principle of Duality) and the other a more functional approach through special mappings. These are completely equivalent and either treatment has as its starting point the axiomatic version of the geometries under consideration. In the functional approach there is a map between related geometries that is called a duality. Such a map can be constructed in many ways. The concept of plane duality readily extends to space duality and beyond that to duality in any finite-dimensional projective geometry.
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