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  2. Euclidean plane isometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane_isometry

    Reflection. Reflections, or mirror isometries, denoted by F c,v, where c is a point in the plane and v is a unit vector in R 2.(F is for "flip".) have the effect of reflecting the point p in the line L that is perpendicular to v and that passes through c.

  3. Glide reflection - Wikipedia

    en.wikipedia.org/wiki/Glide_reflection

    In geometry, a glide reflection or transflection is a geometric transformation that consists of a reflection across a hyperplane and a translation ("glide") in a direction parallel to that hyperplane, combined into a single transformation.

  4. Isometry - Wikipedia

    en.wikipedia.org/wiki/Isometry

    A reflection in a line is an opposite isometry, like R 1 or R 2 on the image. Translation T is a direct isometry: a rigid motion. [1] In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.

  5. Template:Transformation rules - Wikipedia

    en.wikipedia.org/wiki/Template:Transformation_rules

    Template: Transformation rules. 10 languages. ... Print/export Download as PDF; Printable version; In other projects

  6. Transformation geometry - Wikipedia

    en.wikipedia.org/wiki/Transformation_geometry

    The first real transformation is reflection in a line or reflection against an axis. The composition of two reflections results in a rotation when the lines intersect, or a translation when they are parallel. Thus through transformations students learn about Euclidean plane isometry. For instance, consider reflection in a vertical line and a ...

  7. Rotations and reflections in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotations_and_reflections...

    The set of all reflections in lines through the origin and rotations about the origin, together with the operation of composition of reflections and rotations, forms a group. The group has an identity: Rot(0). Every rotation Rot(φ) has an inverse Rot(−φ). Every reflection Ref(θ) is its own inverse. Composition has closure and is ...

  8. UNC alum files for 2-word trademark after Bill Belichick ...

    www.aol.com/unc-alum-files-2-word-121610754.html

    A new era has begun in North Carolina, and one former Tar Heel student is looking to make big bucks because of it.. Bill Belichick was introduced as UNC's head football coach on Thursday - initial ...

  9. Transformation matrix - Wikipedia

    en.wikipedia.org/wiki/Transformation_matrix

    A reflection about a line or plane that does not go through the origin is not a linear transformation — it is an affine transformation — as a 4×4 affine transformation matrix, it can be expressed as follows (assuming the normal is a unit vector): [′ ′ ′] = [] [] where = for some point on the plane, or equivalently, + + + =.

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