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Geometry-Chapter 4
Chapter 4 Definitions
9
Mathematics
9th Grade
09/23/2009

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Term
Reflection image
Definition
The set of all reflection images of the points of the figure.
Term
Composite
Definition
The transformation T o S under which the image of a point of figure F is T(S(F))
Term
Translation
Definition
The composite of two reflections over parallel lines. Also called slide and can be described using a vector.
Term
Rotation
Definition
The composite of two reflections over intersecting lines; the transformation "turns" the preimage on to the image about a fixed point. Also called Turn
Term
Vector
Definition
A quantity that has both magnitude and direction that is used for a translation.
Term
Isometry
Definition
A transformation that is a reflection or a composite of reflections. (rotation, reflection, translation, or glide refection)
Term
Glide Refection
Definition
The composite of a translation and a reflection over a line parallel to the direction of the vector.
Term
Refection
Definition
The transformation that maps a pre-image over a reflecting line to its image. The image will have reversed orientation from its pre-image.
Term
Figure Transformation Theorem
Definition
If a figure is determined by certain points, then its transformation image is the corresponding figure determined by the transformation images of those points.
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