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Axioms and Results
Axioms and Results

... If two lines cut by a transversal have a pair of congruent alternate interior angles with respect to the transversal, then the two lines are parallel. Corollary 1 to AIA Distinct lines perpendicular to the same line are parallel. The perpendicular dropped from a point P not on a line l to l is uniqu ...
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Honors Geometry Unit 1 Exam Review Review your Homework

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3 notes - Blackboard

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... G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations). G.2.1.2.3 Use slope, distance, and/or midpoint between two points on a coordinate plane to establish properties of a two‐dimensional shape. CC.2.3.8.A.3 Understand and apply the Pythagorean theorem t ...
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3379 NonE hw

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1. Competency Reading

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3.4 Congruence in Hyperbolic Space

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Objective 1.01 Apply the properties and

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Grade 4 Math - Unit 1 Enhanced

Name: _______________________ corresponding < are congruent
Name: _______________________ corresponding < are congruent

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ID Post Assessment Geometry Test

... A rectangle and square are similar and different. First, both have four right angles that are 90 degrees each. Next, both have 2 sets of parallel lines so they are parallelograms. A square is always a rectangle, but a rectangle is not always a square. A rectangle can have one set of sides that are l ...
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Midterm Review Packet Name: What is the slope of a line

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Geometry - School District of New London

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Performance Objective Articulation Worksheet Use this worksheet to

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Non-Euclidean Geometry Unit

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Chapter 6 Learning Objectives

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Section 2-6 Proving Geometric Relationships With Solutions Gordon

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Axiom Sets

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Lines and Angles

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Conditional Statements

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Geometric Algorithms

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HS 03 Geometry Overview (Prentice Hall)

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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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