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# Isometry

TermDefinition
Reflections A flip that maps a point to its image, such that if the point is on the line, then the image and preimage are the same point, but if the point isn't on the line, then the line is the perpendicular bisector of the segment joining the two points.
Translation A slide that maps each point to its image along a vector, such that each segment joining a point and its image have the same length as the vector. This segment is also parallel to the vector.
Translation Vector The vector that a translation maps each point to it's image along.
Magnitude of a Vector The length of the vector from it's initial point to it's terminal point.
Direction of a Vector The angle with a positive x-axis or any other horizontal line.
Rotation A movement about a fixed point through the angle of x degrees maps a point to its images.
Center of Rotaion The fixed point by which an image rotates.
Composition of Transformation When a transformation is applied to a figure then another transformation is applied to its image.
Glide Reflection The composition of a translation followed by a reflection in a line parallel to the transformation vector.
Tesselation A pattern of one or more figures that cover a plane so that there are no more open spaces or overlapping shapes.
Regular Tessellation Only one type of regular polygon forms this tessellation.
Semi-regular Tessellation Two or more regular polygons form this tessellation.
Uniform Tesselation If the tessellation contains the same arrangement of shapes and angles at each vertex.
Symmetry If the object can map onto itself.
Line Symmetry The figure can be mapped onto itself by a reflection in a line.
Line of Symmetry The line that determines line symmetry.
Rotational Symmetry The figure can be mapped onto itself by a rotation between 0 to 360 degrees about the center of a figure.
Center of Symmetry Center of a figure in which rotational symmetry is based on.
Order of Symmetry The number of times a figure maps onto itself as it rotates between 0 and 360 degrees.
Magnitude of Symmetry The smallest angle through which a figure can be rotated so that it maps onto itself.
Created by: Saya-Bella