Answer:
Question 7: The new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question 8: The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
Explanation:
Question No 7:
Translation Rule: (x,y) =>
U(-5,1), V(-4,3), W(-3,3), X(-4, 1)
In order to get the new coordinates, we have to add 6 to x-coordinate of vertices subtract 3 from y-coordinates of all vertices. So,

Hence, the new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question No 8:
W(-3,-2), X(-2,2), Y(2,0), Z(1,-3)
Translation Rule: (x+2,y+2)
In order to get the new coordinates, we have to add 2 to x-coordinate of vertices and add 2 to y-coordinates of all vertices. So,

Hence The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)