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Glossary for Module 5 Term Definition Alternate Exterior Angles Any
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... - the three numbers (called coordinates) that are used to identify a point in space; written (x, y, z) Orientation - in an image change, the direction in which the points named go (i.e., how A’s position relates to B’s and B’s relates to C’s); either clockwise or counterclockwise for figures Overlap ...
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... plane, using a horizontal number line, the x-axes, with both positive and negative numbers, and a vertical number line, the y-axis. These axes form four quadrants, or sections; the number lines intersect at right angles at zero on both lines, the point of origin. Every point on the plane can be desc ...
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... Obtuse – an angle measuring greater than 90 vertex, but no common interior Regular – both points degrees but less than 180 degrees equilateral and Linear pair of angles – two equiangular Straight – an angle measuring exactly 180 angles whose noncommon degrees Congruent angles – angles that have the ...
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... Line – a set of points that extend indefinitely in both directions. Plane – a set of points which form a flat surface and extend indefinitely in all directions. Collinear points – points that are on the same line. Coplanar points – points that are on the same plane. Line segment or segment – a set ...
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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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