Polygon abcd is translated to create polygon a’b’c’d’. point a is located at (1,5) and point a’ is located at (-2,3). which expression defines the transformation of any point (x, y) to (x’,y’) on the polygons?

The translation is 3 units left and 2 units down

Step-by-step explanation:

we know that

Point A is located at (1,5) and point A’ is located at (-2,3)

so

The rule of the translation is

(x,y) > (x+a,y+b)

(1,5) > (-2,3)

Find the values  of a and b

1+a=-2 > a=-2-1 > a=-3

5+b=3 > b=3-5 > b=-2

so

The rule of the translation is

(x,y) > (x-3,y-2)

That means > The translation is 3 units left and 2 units down