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TAG 2 course Syllabus 2015
... Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Represent transformations in the plane using, e.g., transparencies and geometry software; describe ...
... Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Represent transformations in the plane using, e.g., transparencies and geometry software; describe ...
Chapter 3 3379
... angles of a triangle is less than or equal to 180 degrees. It is a theorem about HG and EG, but not SG and was an historic breakthrough when it was proved. ...
... angles of a triangle is less than or equal to 180 degrees. It is a theorem about HG and EG, but not SG and was an historic breakthrough when it was proved. ...
Sum of Interior and Exterior Angles in Polygons
... There are two sets of angles formed when the sides of a polygon are extended. • The original angles are called interior angles. • The angles that are adjacent to the interior angles are called exterior angles. ...
... There are two sets of angles formed when the sides of a polygon are extended. • The original angles are called interior angles. • The angles that are adjacent to the interior angles are called exterior angles. ...
Sum of Interior and Exterior Angles in Polygons
... There are two sets of angles formed when the sides of a polygon are extended. • The original angles are called interior angles. • The angles that are adjacent to the interior angles are called exterior angles. ...
... There are two sets of angles formed when the sides of a polygon are extended. • The original angles are called interior angles. • The angles that are adjacent to the interior angles are called exterior angles. ...
is similar to
... Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding ...
... Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding ...
Classifying Quadrilaterals
... specifically to a rhombus with a 45° angle. Every rhombus is a parallelogram, and a rhombus with right angles is a square. (Euclid's original definition and some English dictionaries' definition of rhombus excludes squares, but modern mathematicians prefer the inclusive definition.)[1] The English w ...
... specifically to a rhombus with a 45° angle. Every rhombus is a parallelogram, and a rhombus with right angles is a square. (Euclid's original definition and some English dictionaries' definition of rhombus excludes squares, but modern mathematicians prefer the inclusive definition.)[1] The English w ...
Geometry Definitions
... pi (π) - Ratio of the circumference to the diameter of a circle. plane - A flat surface with no thickness that extends without end in all directions. plane angle (dihedral angle) - Angle formed by a plane that is perpendicular to its edge. point - Has no size and no dimension, merely position. polyg ...
... pi (π) - Ratio of the circumference to the diameter of a circle. plane - A flat surface with no thickness that extends without end in all directions. plane angle (dihedral angle) - Angle formed by a plane that is perpendicular to its edge. point - Has no size and no dimension, merely position. polyg ...
Tessellation
![](https://commons.wikimedia.org/wiki/Special:FilePath/Ceramic_Tile_Tessellations_in_Marrakech.jpg?width=300)
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semi-regular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that lacks a repeating pattern is called ""non-periodic"". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern. In the geometry of higher dimensions, a space-filling or honeycomb is also called a tessellation of space.A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor or wall coverings. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the decorative tiling of the Alhambra palace. In the twentieth century, the work of M. C. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Tessellations are sometimes employed for decorative effect in quilting. Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs.