Transformations:DilationNotes
Name:______________________
Period:____Date:__________
Definitions:
Definition:
Picture:
Congruent
Examples:
Definition:
Characteristics,
properties,facts:
Picture:
Similar
Figures
Examples:
Characteristics,
properties,facts:
Example2:FindtheUnknown
MeasureintheSimilarFigures.
Example1:Whichtwoare
similar?
Example3:FindtheUnknownMeasureintheSimilarFigures.
Definition:
Definition:
Scale
Factor
Examples:
Characteristics,
properties,facts:
Examples:
ScaleFactor:
Typeofdilation:
x=
ScaleFactor: ScaleFactor:
Typeofdilation:
x=
x= Typeofdilation:
x= •
Reduction:
•
Enlargement:
Dilation
YouTry:
Typeofdilation:
Types:
ScaleFactor: Characteristics,
properties,facts:
DilationasaTransformation
•
Writethecoordinates
oftheverticesofthe
blue(small)triangle.
•
Writethecoordinates
oftheverticesofthe
red(large)triangle.
•
Howaretheyrelated?
•
Todilateinthe
coordinateplane
multiplythe
coordinatesofeach
vertexbythescale
factor,k
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DilatingaFigure:
•
DrawtheimageofRectangle
WXYZ.
W(-4,-6)X(-4,4) Y(4,4)Z(4,-6)
•
Thendilateitwithascale
factorof0.5.
•
Whatarethenew
coordinates?
•
Identifythetypeofdilation
W’:____________________
X’:____________________
Y’:____________________
Z’:____________________
________________________
YouTry!
Plottheimage:
•
A(1,-2)B(0,2)C(-4,-1)
•
Dilateitby3
•
Whatarethenew
coordinates?
Isthisareduction
•
A’:____________________
B’:____________________
C’:____________________
________________________
oranenlargement?
•
Plottheimage:
A(6,-3)B(3,6)C(-6,-6)
•
Dilateitby1/3
•
Whatarethenew
coordinates?
•
Isthisareductionor
A’:____________________
B’:____________________
C’:____________________
________________________
anenlargement?
Dilation Summary:
•
In your own words, what is a dilation?
•
What is the transformation rule for any dilation, k?
•
How are the transformations rules different between an enlargement and a reduction?
•
How can you tell if two figures are similar?