Question

1. The coordinates of WXYZ are W(-6, -1), X(-5, -3), Y(-2, 3), and Z(-3, 1). After a translation 8 units

right and 3 units down, the coordinates of the image are

Answer 1

The coordinates of the image are

W'(2,-4)

X'(3,-6)

Y'(6,0)

Z'(5,-2)

Explanation:

we know that

The translation is 8 units right and 3 units down

so

The rule of the translation is

(x,y) ----> (x+8,y-3)

Apply the rule of the translation to the coordinates of the pre-image WXYZ to obtain the coordinates of the image W'X'Y'Z'

coordinate W'

W(-6, -1) ----> W'(-6+8,-1-3)

W(-6, -1) ----> W'(2,-4)

coordinate X'

X(-5, -3) ----> X'(-5+8,-3-3)

X(-5, -3) ----> X'(3,-6)

coordinate Y'

Y(-2, 3) ----> Y'(-2+8,3-3)

Y(-2, 3) ----> Y'(6,0)

coordinate Z'

Z(-3, 1) ----> Z'(-3+8,1-3)

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

therefore

The coordinates of the image are

W'(2,-4)

X'(3,-6)

Y'(6,0)

Z'(5,-2)