Question

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?

Answer 1

x’ = x - 3

y’ = y - 2

Explanation:

Answer 2

The translation is 3 units left and 2 units down

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