Answer:
The rule transforms the quadrilateral ABCD to quadrilateral A'B'C'D' is given by
D.(-x,y-4).
Step-by-step explanation:
Given quadrilateral ABCD transform into new quadrilateral A'B'C'D.
The transformation is a special rule by which to determine the coordintae of image point of any coordinate of given point . The transformation can be rotation, reflection, dialtion etc.
In given figure of qudrilateral ABCD
Coordinate of A (-5,4)
Coordinate of B(0,1)
Coordinate of C (-4,0)
Coordinate of D (-6,2)
In II figure of quadrilateral A'B'C'D
Coordinate of A' (5,0)
Coordinate of B' (0,-3)
Coordinate of C' (4,-4)
Coordinate of D' (6,-2)
Then we can see that coordinate of A (-5,4) change into A' (5,0)
It means x change into -x and y change into y-4
Similarly in same way B (0,1) change into B'(0,-3)
C(-4,0) change into C'(4,-4) and D( -6,2) change into D'(6,-2)
Hence, the correct transformation (x,y) into (-x,y-4).
