Line of reflection
a line through a figure that separates the figure into two mirror images
Line of symmetry
a line that can be drawn through a plane figure so that the on one side is the reflection image of the figure on the opposite side.
the length of the vector
vector that have the same or opposite direction
Point of symmetry
the common point of reflection for all points of a figure
a transformation representing a flip of the figure over a point, line, or plane
a matrix that can be multiplied by the vertex of a figure to find the coordinates of the reflected image
the sum of two vectors
a transformation that turns every point of image through a specified angle and direction about a fixed point, called the center of rotation
a matrix that can be multiplied by the vertex matrix of a figure to find the coordinates of the rotated image
if a figure can be less than 360 about a point so that the image and the pre image indistinguishable the figure has rotational symmetry
a uniform tessellation formed using two or more regular polygons
when a figure and its transformation image are similar
when the initial point of a vector is at the origin
a pattern that covers a plane by transforming the same figure or set of figures so that there are no overlapping or empty spaces
in a plane, a mapping for which each point has exactly one image point and each image point has exactly one per-image point.
a transformation that moves all points of a figure the same distance in the same direction.
tessellations containing the same arrangement of shapes and angles at each vertex.
A directed segment representing a quantity that has both magnitude, or length, and direction.
A matrix that represented a polygon by placing all of the column matrix of the coordinate of the vertices into one matrix.
Angle of rotation
the angle between the line of sight and the horizontal when an observer looks downward.
Center of rotation
a fixed point around which shapes move in a circular motion to a new position.
a matrix containing one column often used to represent an ordered pair or a vector, such as (x,y)=x/y
a vector expressed as an ordered pair, change in x, change in y.
composition of reflection
successive reflections in parallel lines.
a transformation determined by a center point C and a scale factor k. When k > 0, the image P' of P is the point on CP such that CP'=k times CP. When k <0, the image P' of P is the point on the ray opposite segment CP such that CP' = k times CP.
an isometry in which the image of figure is found by moving the figure intact within the plane.
the measure of the angle that a vector forms with the positive x axis or any other horizontal line.
vectors that have the same magnitude and direction.
a composition of a translation and a reflection in a line parallel to the direction of the translation.
an isometry that cannot be performed by maintaining the orientation of the points, as in a direct isometry.
a mapping for which the original figure and its image are congruent.
a matrix that can be added to the vertex matrix of a figure to find the coordinate of the translation.
multiplication of a vector by a scalar