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Transformation Vocabulary Graphic Organizer
Math Term
Image
Example
Definition
The figure after the transformation.
Pre-Image
The figure prior to the transformation.
Isometry
Angle of
Rotation
Point of
Rotation
Reflection
Line
A transformation that preserves
congruence. In other words, a
transformation in which the image and preimage have the same side lengths and
angle measurements. The following
transformations maintain their
mathematical congruence.
The amount of rotation about a fixed point.
The central point around which a figure is
rotated.
A line that is the perpendicular bisector of
the segment with endpoints at a pre-image
point and the image of that point after a
reflection.
Corresponding
Sides
Corresponding
Angles
Sides that have the same relative positions
in geometric figures.
Angles that have the same relative positions
in geometric figures.
Scale Factor
The ratio of any two corresponding lengths
of the sides of two similar figures.
Center of
Dilation
Dilation Factor
A fixed point in the plane about which all
points are expanded or contracted. It is the
only invariant point under a dilation.
A dilation of scalar factor k whose center of
dilation is the origin may be written:
Dk (x, y) = (kx, ky).
If the scale factor, k, is greater than 1, the
image is an enlargement (a stretch).
If the scale factor is between 0 and 1, the
image is a reduction (a shrink).
Types of Transformations Graphic Organizer
Transformations
What Is It?
What
Happens
to Shape
(Angles)?
What
Happens
to Size?
What Happens
to Orientation?
Translation
A transformation in
which every point of
the pre-image moves
in the same direction
by the same amount to
form the image. A
translation is also
referred to as a "slide".
A translation creates a
similar and congruent
figure.
A transformation in
which each point is
mapped onto its
reflection image over a
line or plane. A
reflection creates a
similar and congruent
figure.
Angles
remain the
same.
Size
remains
the same.
Orientation
remains the same.
Figure is moved
to another
location (letter
ordering remains
the same).
Angles
remain the
same.
Size
remains
the same.
Orientation is
reversed (letter
order is not
preserved. Order
is reversed).
A transformation in
which every point of
the preimage is rotated
by a given angle about
a point (in two
dimensions) or a line
(in three dimensions).
A rotation creates a
similar and congruent
figure.
Dilation is a similarity
transformation in
which a figure is
enlarged or reduced
using a scale factor ≠
0, without altering the
center.
Angles
remain the
same.
Size
remains
the same.
Orientation
remains the same
(letter order
remains the
same). Figure is
moved to another
location.
Angles
remain the
same.
Size
increases
or
decreases
depending
on the
scale
factor.
Orientation
remains the same
(letter ordering
remains the
same).
Reflection
Rotation
Dilation