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)
Step-by-step 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,
[tex]U(-5,1) => (x+6,y-3) => (-5+6, 1-3) => U'(1,-2)\\V(-4,3) => (x+6,y-3) => (-4+6, 3-3) => V'(2,0)\\W(-3,3) => (x+6,y-3) => (-3+6, 3-3) => W'(3,0)\\X(-4,1) => (x+6,y-3) => (-4+6, 1-3) => X'(2,-2)[/tex]
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,
[tex]W(-3,-2) => (x+2,y+2) => (-3+2, -2+2) => W'(-1,0)\\X(-2,2) => (x+2,y+2) => (-2+2, 2+2) => X'(0,4)\\Y(2,0) => (x+2,y+2) => (2+2, 0+2) => Y'(4,2)\\Z(1,-3) => (x+2,y+2) => (1+2, -3+2) => Z'(3,-1)[/tex]
Hence The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
