Transformations Algebraic Rules

Which of the following algebraic rules would create a bigger shape

• ( x , y ) → ( 5x , 5y )

• ( x , y ) → ( ⅕x , ⅕y )

• ( x , y ) → (x + 5, y + 5)

• ( x , y ) → (x - 5, y - 5)

Dilations can either
enlarge or reduce shapes
( x , y ) → ( 0.99x , 0.99y )
this S.F. would create... 

• a bigger shape because SF > 1

• a bigger shape because SF < 1

• a smaller shape because SF > 1

• a smaller shape because SF < 1

Which of the following algebraic rules would create a smaller shape

• ( x , y ) → ( 5x , 5y )

• ( x , y ) → ( ⅕x , ⅕y )

• ( x , y ) → (x + 5, y + 5)

• ( x , y ) → (x - 5, y - 5)

Dilations can either
enlarge or reduce shapes
( x , y ) → ( 8x , 8y )
this S.F. would create... 

• a bigger shape because SF > 1

• a bigger shape because SF < 1

• a smaller shape because SF > 1

• a smaller shape because SF < 1

Dilations can either
enlarge or reduce shapes
( x , y ) → ( 7/5x , 7/5y )
this S.F. would create... 

• a bigger shape because SF > 1

• a bigger shape because SF < 1

• a smaller shape because SF > 1

• a smaller shape because SF < 1

Translations move shapes
( x , y ) → ( x , y - 11)
would move the shape

• Right only

• Left only

• Up only

• Down only

Dilations can either
enlarge or reduce shapes
( x , y ) → ( 6x , 6y )
this S.F. would create... 

• a bigger shape because SF > 1

• a bigger shape because SF < 1

• a smaller shape because SF > 1

• a smaller shape because SF < 1

Dilations can either
enlarge or reduce shapes
( x , y ) → ( 0.3x , 0.3y )
this S.F. would create... 

• a bigger shape because SF > 1

• a bigger shape because SF < 1

• a smaller shape because SF > 1

• a smaller shape because SF < 1

Dilations can either
enlarge or reduce shapes
( x , y ) → ( ½x , ½y )
this S.F. would create... 

• a bigger shape because SF > 1

• a bigger shape because SF < 1

• a smaller shape because SF > 1

• a smaller shape because SF < 1

Jenna and Tom have produced two algebraic rules.  Jenna’s rule is  (x, y) --> (3x, 3y)  and Tom’s rule is (x, y) -->(2x, 2y).  Which of the following statements is true regarding these rules?

• Both Tom and Jenna will have a transformation that is similar to the original.

• Both Tom and Jenna will produce an image that is a translation from the original.