A change in shape, position, or size of a figure (mapping of points)

Transformation (other)

In a plane, the mapping of points is a transformation if each image point has one preimage point, and if each preimage point has one image point

Is a transformation in which all the points of a figure move the same distance in the same direction.

A composite of two reflections over two parallel lines

A transformation across a line called the Line of Reflection. Each point and its image are the same distance from the line.

A transformation across a line called the line of reflection that maps each point P (preimage) of the plane onto point P' (image) so that the line of reflection is the perpendicular bisector of the segment between P and P'

A transformation about point P, called the Center of Rotation. Each point and its image are the same distance from P.

A composite of two reflections over two intersecting lines

The fixed point where the two lines of reflection intersect

The measure of the angle of rotation is twice the measure of the angle formed by the intersecting lines

A transformation that preserves the length, angle measure, and area of a figure

The figure after transformation

Let C be a point and k a positive real number. A dilation is a transformation that maps each point of a plane to an image so that:

There is a transformation such that the image coincides eith the preimage; x=y, y=x

A figure has line symmetry if there is a line of reflection such that the reflected image of the figure coincides with itself

A figure has rotational symmetry if there is a rotation (less then 360) around a center point such that the image coincides with the figure

Angle of Rotational Symmetry

The smallest angle a figure can be rotated for the figure to coincide with itself

The number of times a figure coincides with itself as it rotates 360 degrees

A figure has point symmetry if it has rotational symmetry of 180 degrees

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Term	Definition
Transformation	A change in shape, position, or size of a figure (mapping of points)
Transformation (other)	In a plane, the mapping of points is a transformation if each image point has one preimage point, and if each preimage point has one image point
Translation	Is a transformation in which all the points of a figure move the same distance in the same direction.
Translation (other)	A composite of two reflections over two parallel lines
Reflection	A transformation across a line called the Line of Reflection. Each point and its image are the same distance from the line.
Reflection (other)	A transformation across a line called the line of reflection that maps each point P (preimage) of the plane onto point P' (image) so that the line of reflection is the perpendicular bisector of the segment between P and P'
Rotation	A transformation about point P, called the Center of Rotation. Each point and its image are the same distance from P.
Rotation (other)	A composite of two reflections over two intersecting lines
Center of Rotation	The fixed point where the two lines of reflection intersect
Angle of Rotation	The measure of the angle of rotation is twice the measure of the angle formed by the intersecting lines
Isometry	A transformation that preserves the length, angle measure, and area of a figure
Image	The figure after transformation
Preimage	The original image
Dilation	Let C be a point and k a positive real number. A dilation is a transformation that maps each point of a plane to an image so that:
Symmetry	There is a transformation such that the image coincides eith the preimage; x=y, y=x
Line Symmetry	A figure has line symmetry if there is a line of reflection such that the reflected image of the figure coincides with itself
Rotational Symmetry	A figure has rotational symmetry if there is a rotation (less then 360) around a center point such that the image coincides with the figure
Angle of Rotational Symmetry	The smallest angle a figure can be rotated for the figure to coincide with itself
Order	The number of times a figure coincides with itself as it rotates 360 degrees
Point Symmetry	A figure has point symmetry if it has rotational symmetry of 180 degrees

Created by: NAtterberry

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