A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3), E(4, 3), F(4, 1), and G(–1, 1). What is the image of DEFG?

  D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3)

Step-by-step explanation:

Adding (-1, 2) to each of the coordinates gives ...

  D +(-1, 2) = (-1-1, 3+2) = D'(-2, 5)

  E +(-1, 2) = (4-1, 3+2) = E'(3, 5)

  F +(-1, 2) = (4-1, 1+2) = F'(3, 3)

  G +(-1, 2) = (-1-1, 1+2) = G'(-2, 3)

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: