Question

Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2) , and X(1, −2) . Trapezoid WKLX ​ is translated 4 units right and 3 units down to produce trapezoid trapezoid W'K'L'X' .
Which coordinates describe the vertices of the image?

W'(6, 0), K'(8, 0), L'(9, 1) , and X'(5, 1)
W′(6, −6), K′(8, −6), L′(9, −5) , and X′(5, −5)
W'(5, 1), K'(7, 1), L'(8, 2) , and X′(4, 2)
W′(−1, 1), K′(1, 1), L′(2, 2) , and X′(−2, 2)

Answer 1

WKLX
W(2, −3),  
K(4, −3),
L(5, −2) ,
X(1, −2) 

TRANSLATED 4 UNITS RIGHT and 3 UNITS DOWN to produce W'K'L'X

4 units right means the x coordinate is affected. Since the moving to the right, we add 4 to the x values of each vertice.

W = 2 + 4 = 6
K = 4 + 4 = 8
L = 5 + 4 = 9
X = 1 + 4 = 5

3 units down means the y axis is affected. We add 3 to the value of y but keep the negative sign.
W = -3 + -3 = -6
K = -3 + -3 = -6
L = -2 + -3 = -5
X = -2 + -3 = -5

The correct answer is: W′(6, −6), K′(8, −6), L′(9, −5) , and X′(5, −5)