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Details

Similarity and Transformations
Vocabulary
21
Mathematics
Not Applicable
12/01/2005

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Term
Image
Definition
The new figure that results from the transformation of a figure in a plane.
Term
Preimage
Definition
The original figure in the transformation of a figure in a plane.
Term
Transformation
Definition
The operation that maps, or moves, a preimage onto an image. Three basic transformations are frlections, Rotations,and translations.
Term
Isometry
Definition
A transformation that preserves legths. Also called rigid transformation.
Term
reflection
Definition
A type of transformation that uses a line that acts like a mirror, called the line of reflection, with an image reflected in the line.
Term
line of reflection
Definition
A line that acts as a mirror in a reflection.
Term
line of symmetry
Definition
A line that a figure in a plane has if the figure can be mapped onto itself by a reflection in the line.
Term
Rotation
Definition
A type of transformation in which a figure is turned about a fixed point, called the center of rotation.
Term
Center of rotation
Definition
The fixed point in a rotation.
Term
Angle of rotation
Definition
The angle formed when rays are drawn from the center of rotation to a point and its image.
Term
Rotational symmetry
Definition
A figure in the plane has rotaional symmetry if the figure can be mapped onto itself by a rotation of 180' or less.
Term
Translation
Definition
A type of trasformation that maps ever 2 points P and Q in the plane to points P' and Q'.
Term
Vector
Definition
A quantity that has both direction and magnitude, and is represented by an arrow drawn between two points.
Term
initial point
Definition
The starting point of a vector.
Term
Terminal point
Definition
The ending point of a vector.
Term
Component form
Definition
The form of a vector that combines the horizontal and the vertical components of the vector.
Term
Glide reflection
Definition
A transformation in which P is mapped onto a point P" by the following 2 steps: (1) A translation maps P onto P'. (2) A reflection in a line k parallel to the direction of the translation maps P' onto P".
Term
Composition
Definition
The result when two or more transformations are combined to produce a single transformation. An example is glide reflection.
Term
Ratio of a to b
Definition
The quotient a/b if a and b are two quantities taht are measured in the same units. Can also be written as a:b.
Term
proportion
Definition
An equation that equates two ratios.
Term
Geometric mean
Definition
For two positive numbers a and b, the positive number x.
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