Ordered Pairs - Hempfield Curriculum
... 2. If what Marcel thinks about his quadrilateral is true, what type of quadrilateral does he have? 3. Richelle drew hexagon KLMNOP at the right. She thinks the hexagon has six congruent angles. How can she show that the angles are congruent without using a protractor to measure them? ...
... 2. If what Marcel thinks about his quadrilateral is true, what type of quadrilateral does he have? 3. Richelle drew hexagon KLMNOP at the right. She thinks the hexagon has six congruent angles. How can she show that the angles are congruent without using a protractor to measure them? ...
Graph invariant
... symmetric relation ~ (adjacency). An unoredered pair of adjacent vertices uv = vu forms an edge. The set of edges is denoted by E(X). Sometimes we write X = (V,E) or X(V,E). ...
... symmetric relation ~ (adjacency). An unoredered pair of adjacent vertices uv = vu forms an edge. The set of edges is denoted by E(X). Sometimes we write X = (V,E) or X(V,E). ...
Unit 9 − Non-Euclidean Geometries When Is the Sum of the
... deduce Euclid’s fifth postulate from the other four postulates because of its perceived complexity with respect to the other four. Using the activity sheet, have participants, in groups, review Euclid’s first five postulates. They should be able to illustrate the five postulates in Euclidean space. ...
... deduce Euclid’s fifth postulate from the other four postulates because of its perceived complexity with respect to the other four. Using the activity sheet, have participants, in groups, review Euclid’s first five postulates. They should be able to illustrate the five postulates in Euclidean space. ...
Geometry 2nd Semester Final Study Guide
... Use proportions to determine whether lines are parallel to sides of triangles o If segment in triangle is parallel to the side it doesn’t touch, then set up proportion to find missing part o If sides are split proportionally, then line is parallel to side it doesn’t intersect o Triangle Midsegments ...
... Use proportions to determine whether lines are parallel to sides of triangles o If segment in triangle is parallel to the side it doesn’t touch, then set up proportion to find missing part o If sides are split proportionally, then line is parallel to side it doesn’t intersect o Triangle Midsegments ...
7.1 Similar Polygons PP
... 1. If ∆QRS ∆ZYX, identify the pairs of congruent angles and the pairs of congruent ...
... 1. If ∆QRS ∆ZYX, identify the pairs of congruent angles and the pairs of congruent ...
Tessellations 7/30/2009 © Powered Chalk LLC 2009 1
... The measures of the angles that meet at the corners must add up to exactly 360º. The sum of all the angles in a polygon = ( n - 2 )·180º, where n is the number of sides. The measure of one angle is the sum of the angles divided by n. For equal numbers to add up to 360º they must go into 360º evenly. ...
... The measures of the angles that meet at the corners must add up to exactly 360º. The sum of all the angles in a polygon = ( n - 2 )·180º, where n is the number of sides. The measure of one angle is the sum of the angles divided by n. For equal numbers to add up to 360º they must go into 360º evenly. ...
Geometry Symmetry Unit CO.3 OBJECTIVE #: G.CO.3 OBJECTIVE
... The student will be able to describe the symmetries (rotational and reflection) of a rectangle, parallelogram, trapezoid, and regular polygon onto itself through a thorough understanding of transformations. Students will also be able to identify the unique characteristics of a rectangle, parallelo ...
... The student will be able to describe the symmetries (rotational and reflection) of a rectangle, parallelogram, trapezoid, and regular polygon onto itself through a thorough understanding of transformations. Students will also be able to identify the unique characteristics of a rectangle, parallelo ...
Lesson - Schoolwires
... A right obtuse triangle B right scalene triangle C acute isosceles triangle D obtuse scalene triangle ...
... A right obtuse triangle B right scalene triangle C acute isosceles triangle D obtuse scalene triangle ...
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.