Question

Anna is writing a computer game program. She needs to “move” a square 3 units to the left and 2 down by applying a translation rule to the coordinates of the vertices. One corner of the pre-image square is at the origin and the diagonally opposite corner is at (4,4). The sides of the square align with the coordinate axes. After the transformation what will be the coordinates of the image of each of the four vertices?

Answer 1

(-3,-2), (-3,2) , (1,2) and (1,-2)

Explanation:

Give the translation rule as; 3 units to the left and 2 units down, it means (-3,-2)

The given coordinates of the square are (0,0) and (4,4). You can plot the coordinates on a graph tool and determine the position of the other vertices

of the square as (0,4) and (4,0)

Applying the translation to each point

(0,0)⇒(-3,-2) = (-3,-2)

(0,4)⇒(-3,-2) = (-3,2)

(4,4)⇒ (-3,-2) = (1,2)

(4,0)⇒(-3,-2)= (1,-2)

The image of the vertices after transformation will be

(-3,-2), (-3,2) , (1,2) and (1,-2)