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Transformations

Chapter 8 Transformations

TermDefinition
angle of rotation the angle through which a point is rotated under a rotation
center of dilation the point about which a figure is dilated under a dilation
center of rotation the point about which a point is rotated under a rotation
clockwise in the direction that a clock hand moves
counterclockwise in the opposite direction that a clock hand moves
dilation a transformation that assigns to each point A on the plane a point A' such that from a given point O, OA = kOA' and A, O, and A' lie along the same line
half turn a 180 degree rotation
image the resulting figure after a transformation
invariant point a point that remains unchanged, or a point that is mapped onto itself, under a transformation
isometry a transformation that preserves lengths and angle measures
line of reflection the given line of a reflection that is the perpendicular bisector of all segments formed by a point and its image
map to assign to each point on a plane its image under a transformation
reflection a transformation that maps each point A on a plane to a point A' such that a given line is the perpendicular bisector of line segment AA'.
rotation a transformation that maps each point A on a plane to a point A' such that, given a center O, m of angle AOA' is a given angle measure and AO = A'O
scale factor the ratio of a length A'B' of a figure's image to the length AB of the original figure under a dilation
transformation a function that maps each point to its corresponding point on the plane
translation a transformation that maps each point A on a plane to a point A' such that line segment AA' is the same length and has the same direction for all points on the plane
Created by: cazenger