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Similarity and transformations
vocabulary
22
Mathematics
Not Applicable
12/01/2005

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Term
Image
Definition
The new figure that results from the tranformation 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 opperation that maps or moves a preimage onto an image. Three basic transformations are reflections, rotations, and translations.
Term
Isometry
Definition
A transformationthat preserves lengths. 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 tranformationin 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 for a center of rotation to a point and it's image.
Term
Rotational Symmetry
Definition
A figure in the plane has rotational symmetry if the figure can be mapped onto itself by a rotation of 180` or less
Term
Translation
Definition
A type of transformation that maps every two points P and Q in the plane to point 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 two steps: (1) A translation maps P onto P' (2) A reflection in a line K parallel to the direction of the translation maps P' to 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 that 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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