Graphs, Paths, Circuits Review Sheet Graph
... Fleury’s Theorem: 1. If graph has two odd vertices (Euler Path), start at one of the two odd vertices. ...
... Fleury’s Theorem: 1. If graph has two odd vertices (Euler Path), start at one of the two odd vertices. ...
Chapter 2 Learning Objectives
... Learning Objectives for Chapter Two Parallel Lines Learning objectives indicate what you should be able to do upon completing your work in each of the textbook sections. Section 2-1: The Parallel Postulate and Special Angles 1. construct the perpendicular line from a point not on a given line to tha ...
... Learning Objectives for Chapter Two Parallel Lines Learning objectives indicate what you should be able to do upon completing your work in each of the textbook sections. Section 2-1: The Parallel Postulate and Special Angles 1. construct the perpendicular line from a point not on a given line to tha ...
polygon - Cloudfront.net
... a polygon if it is formed by 3 or more line segments (sides), joined endpoint to endpoint (vertices) with each side intersecting exactly two others. ...
... a polygon if it is formed by 3 or more line segments (sides), joined endpoint to endpoint (vertices) with each side intersecting exactly two others. ...
Geometry Section 8.3 Similar Polygons 1. List all the pairs of
... Geometry Section 8.3 Similar Polygons Vocabulary Similar Polygons Two polygons such that their corresponding angles are congruent and the lengths of corresponding sides are proportional. ...
... Geometry Section 8.3 Similar Polygons Vocabulary Similar Polygons Two polygons such that their corresponding angles are congruent and the lengths of corresponding sides are proportional. ...
Convex and Non-Convex Polygons
... 36π units2, and a circle with radius r has area A = πr 2 units2. The circumference of a circle is its perimeter. It is thedistance around a circle. The circumference of a circle with radius r = 1 unit is 2π units. Since the perimeter ratio is equal to the ratio of similarity, a circle with radius r ...
... 36π units2, and a circle with radius r has area A = πr 2 units2. The circumference of a circle is its perimeter. It is thedistance around a circle. The circumference of a circle with radius r = 1 unit is 2π units. Since the perimeter ratio is equal to the ratio of similarity, a circle with radius r ...
Geometric Concepts: Polygons, Quadrilaterals
... Equation – (5 minutes) If each vertex has two diagonals drawn from it and there are 5 vertices what is the total number of diagonals? (On the board write: 2 * 5 = 5) Wait to see if anyone reacts. What do you mean it’s not 10? We all know that 2 * 5 = 10 not 5! But we have to notice that the diagonal ...
... Equation – (5 minutes) If each vertex has two diagonals drawn from it and there are 5 vertices what is the total number of diagonals? (On the board write: 2 * 5 = 5) Wait to see if anyone reacts. What do you mean it’s not 10? We all know that 2 * 5 = 10 not 5! But we have to notice that the diagonal ...
Sierpinski N-Gons - Grand Valley State University
... Again we seem to have the situation that for some r's, Am ( r ) consists of "overlapping" ngons, for some r's, Am ( r ) consists of "just touching" n-gons, and for other r's, Am ( r ) consists of "totally disconnected" n-gons. This raises the question of which value of r makes the constituent n-gons ...
... Again we seem to have the situation that for some r's, Am ( r ) consists of "overlapping" ngons, for some r's, Am ( r ) consists of "just touching" n-gons, and for other r's, Am ( r ) consists of "totally disconnected" n-gons. This raises the question of which value of r makes the constituent n-gons ...
Geometry Fall 2011 Lesson 17 (S.A.S. Postulate)
... Definition: Two polygons are similar if their vertices can be paired so that 1) Corresponding angles are congruent 2) Corresponding sides are in proportion The symbol for similarity is ~. What is the ratio of the lengths of any two corresponding sides in the similar polygons at right? Definition: Th ...
... Definition: Two polygons are similar if their vertices can be paired so that 1) Corresponding angles are congruent 2) Corresponding sides are in proportion The symbol for similarity is ~. What is the ratio of the lengths of any two corresponding sides in the similar polygons at right? Definition: Th ...
Geometry
... cloth is 12 in. by 24 in. and costs $5. Compare the areas of the place mat and tablecloth to find a reasonable cost for the tablecloth. ...
... cloth is 12 in. by 24 in. and costs $5. Compare the areas of the place mat and tablecloth to find a reasonable cost for the tablecloth. ...
List of regular polytopes and compounds
This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.The Schläfli symbol describes every regular tessellation of an n-sphere, Euclidean and hyperbolic spaces. A Schläfli symbol describing an n-polytope equivalently describes a tessellation of a (n-1)-sphere. In addition, the symmetry of a regular polytope or tessellation is expressed as a Coxeter group, which Coxeter expressed identically to the Schläfli symbol, except delimiting by square brackets, a notation that is called Coxeter notation. Another related symbol is the Coxeter-Dynkin diagram which represents a symmetry group with no rings, and the represents regular polytope or tessellation with a ring on the first node. For example the cube has Schläfli symbol {4,3}, and with its octahedral symmetry, [4,3] or File:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png, is represented by Coxeter diagram File:CDel node 1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png.The regular polytopes are grouped by dimension and subgrouped by convex, nonconvex and infinite forms. Nonconvex forms use the same vertices as the convex forms, but have intersecting facets. Infinite forms tessellate a one-lower-dimensional Euclidean space.Infinite forms can be extended to tessellate a hyperbolic space. Hyperbolic space is like normal space at a small scale, but parallel lines diverge at a distance. This allows vertex figures to have negative angle defects, like making a vertex with seven equilateral triangles and allowing it to lie flat. It cannot be done in a regular plane, but can be at the right scale of a hyperbolic plane.A more general definition of regular polytopes which do not have simple Schläfli symbols includes regular skew polytopes and regular skew apeirotopes with nonplanar facets or vertex figures.