Transformations:  Dilation  

Dilation:    A  ________________________________________  in  which  a  figure  is  made  __________________                

or  _____________________  with  respect  to  a    ___________________  called  the  ___________________  of  

____________________________.  

Label  it.  Example:    The  ____________  polygon  has  

been  Dilated  (made  ____________________)            

to  form  the    ___________  polygon.  

Vocab! Guided Notes

Center  of  Dilation:    The  __________________  from  which  a  figure  is  _______________________.  

When  ______________________  on  the  Cartesian  Plane,  the  __________________  is  of  the  

___________________  of  Dilation.    

Example:    Here,  the  ______________________  (            ,            )  is  the  

____________________  of  Dilation.    Label  the  Center  of  Dilation.  

Scale  Factor:    In  a  dilation,  the  __________________________  figure  and  dilated  _________________  

are  ___________________.    The  ratio  that  compares  the  one  with  the  other  is  called  the  

__________________    __________________  and  is  called  _____.    

Example:    The  ____________  square  is  twice  the  

size  of  the  _________  square.  (label  them  according  

to  the  PowerPoint!)    

         If  _________  à  ____________,    

             the  what  is  the  scale  factor?           k  =________

         What  if  ____________  à  _________?     k  =________

Dilation  on  the  Cartesian  Plan:    To  __________________  a  figure  in  respect  to  the  origin,  

_______________________  the  coordinates  of  each  _________________  by  the  scale  factor,  _____.  

 

Transformation  Notation  of  Dilations:        (x, y) à ( , )  

Classifying  a  Dilation  by  the  Scale  Factor:  

When    _____  >  ______,  the  dilation  is  a  _____________________________.  

  When    _____<  _____  <  _____,  the  dilation  is  a  ___________________________.  

Example 1!

   Dilate  ΔABC  by  the  scale  factor,  k  =  ______,  then  classify  it.      

   This  Dilation  is  a(n)  

__________________________.    

Because  _________________    

___________________________.

Dilate ΔABC by a scale factor, k = ______ then classify it. 1)

A:  _____________     A’:  _____________

B:  _____________     B’:  _____________

C:  _____________     C’:  _____________

Example 2!

   Dilate  Rectangle  

WXYZ  by  the  scale  

factor,  k  =  ________  

(or  __________),  then  

classify  it.

This  dilation  is  a  _________________________  because  

the  scale  factor  is    ____________________________________  

__________________________________________________________.    

You try it!

This  Dilation  is  a(n)      _____________________________.  

 

2)

3)

Dilate ΔXYZ by a scale factor, k = ______, then classify it.

Dilate ΔJKL by a scale factor, k = ______. Then translate it down

______ and to the right ______ units.

X:  _____________     X’:  _____________

Y:  _____________     Y’:  _____________

Z:  _____________     Z’:  _____________

This  Dilation  is  a(n)      _____________________________.  

J;  ____________            K:____________            L:____________  

J’:  ______________     J”:  ______________

K’:  _____________     K”:  _____________

L’:  _____________     L”:  ______________

This  Transformation  is  both  

a(n)  _____________________________    

and  a  _____________________________.