Transcript TRANSFORMATIONS - Jefferson County Public Schools

TRANSFORMATIONS
SPI 3108.3.3
SPI 3108.4.10
TYPES OF TRANSFORMATIONS
Reflections – The flip of a figure over a
line to produce a mirror image.
 Rotation – A geometric turn of a figure
around a fixed point.
 Translation – The slide of a figure from
one position to another.
 Dilation – A transformation that alters the
size of a figure, but not its shape.

Preimage to Image
B’
A’
C’
B
A
C
D
Each point on the original
figure is called the Preimage
D’
Its matching point
on the
corresponding figure
is called its image.
Reflections
REFLECTION – The flip of a figure over
a line to produce a mirror image.
Coordinate Reflection
The triangle is reflected about the x-axis. Each
point is equal distance from the x-axis.
Rotation
D’
A’
900
P
D
The triangle PAD is rotated
90 degrees counter
clockwise about the point P.
To accomplish this the
segment PD is used as the
base line. Segment PD is
rotated until it forms a 90
degree angle. The
remainder of the triangle is
formed from segment PD.
A
ROTATION – A geometric turn of a figure
around a fixed point.
Translation
Slide
TRANSLATION– The slide of a figure from one
position to another.
Coordinate Translation
Each point is translated 3 points to the
right and 5 points up.
Dilation
Dilation is altering the size of
the figure by k = n . The
dilation of this figure is k = 3.
The image is 3 times bigger
than the preimage.
DILATION – A transformation that alters the size of
a figure, but not its shape.
Coordinate Dilation
Each point is multiplied by k to find the dilation.