Given the parallelogram and its image
For the point E'
Pre image is E = (2 , 5 )
Image is E' = ( -2 , -5 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
For the row of F' ;
Pre - image is F = (4 , 8 )
Image is F' = ( -4 , -8 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
For the row of G' :
Pre - image is G = ( 6 , 5 )
Image is G' = ( -6 , -5 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
For the row of H' :
Pre - image is H = ( 4 , 2 )
Image is H' = ( -4 , -2 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
so,
As shown, Type of Transformation: is reflection over the point ( 0 , 0 )
Or can be written reflection Through the origin
Algebraic Representation: ( -x , -y )
the rule of translation
(x , y ) → ( -x , -y)