1. dilations

2. (4x,4y) or (4x,4y) (x,y)       
A triangle with vertices A(0,3), B(4,1) and C(5,-2).
Write an algebraic representation for the dilation.
Determine the coordinates of the triangle after a dilation with a scale factor of 4
(4x,4y) or
(4x,4y)
Algebraic representation:
(x,y) 
A(0,3) 
A(40,43) 
A’(0,12)
B(4,1) 
B(44,41) 
B’(16,4)
C(5,-2) 
C(45,4-2) 
C’(20,-8)
The coordinates of the triangle after the dilation are A’(0,12), B’(16,4), C’(20,-8)

3. (½x,½y) or (½x,½y) (x,y)       
A triangle with vertices A(0,4), B(4,-2) and C(6,-8).
Write an algebraic representation for the dilation.
Determine the coordinates of the triangle after a dilation with a scale factor of ½
(½x,½y) or
(½x,½y)
Algebraic representation:
(x,y) 
A(0,4) 
A(½0, ½4) 
A’(0,2)
B(4,-2) 
B(½4, ½-2) 
B’(2,-1)
C(6,-8) 
C(½6, ½-8) 
C’(3,-4)
The coordinates of the triangle after the dilation are A’(0,2), B’(2,-1), C’(3,-4)

4. (1,3) -> (1  2, 3  2) (4,2) -> (4  2, 2  2)I
Graph the following
Coordinates
(1,3) (4,2) (3,5)
Then connect the dots. Y
Dilate the coordinates by a scale factor of 2
(1,3) -> (1  2, 3  2)
(4,2) -> (4  2, 2  2)
(3,5) -> (3  2, 5  2) X
The new coordinates are
(2,6) (8,4) (6,10)
Graph then
connect the dots.

5. A triangle with vertices A(0,3), B(4,1) and C(5,-2).
Write an algebraic representation for the dilation.
Determine the coordinates of the triangle after a dilation with a scale factor of 4
( , ) or
Algebraic representation:
(x,y) 
A(0,3) 
A( , ) 
A’( )
B(4,1) 
B( , ) 
B’( )
C(5,-2) 
C( , ) 
C’( )
The coordinates of the triangle after the dilation are A’( ), B’( ), C’( )

6. A triangle with vertices A(0,4), B(4,-2) and C(6,-8).
Write an algebraic representation for the dilation.
Determine the coordinates of the triangle after a dilation with a scale factor of ½
( , ) or
( , )
Algebraic representation:
(x,y) 
A(0,4) 
A( , ) 
A’( )
B(4,-2) 
B( , ) 
B’( )
C(6,-8) 
C( , ) 
C’( )
The coordinates of the triangle after the dilation are A’( ), B’( ), C’( )

7. (1,3) -> ( , ) (4,2) -> ( , ) (3,5) -> ( , )I
Graph the following
Coordinates
(1,3) (4,2) (3,5)
Then connect the dots. Y
Dilate the coordinates by a scale factor of
(1,3) -> ( , )
(4,2) -> ( , )
(3,5) -> ( , ) X
The new coordinates are
( ) ( ) ( )
Graph then
connect the dots.