The given scale factor tells us to multiply the x -coordinate and the y -coordinate of each vertex by 3.
Practice makes perfect
To find the coordinates of an image after a dilation centered at the origin, we multiply the x - and y -coordinates of each point on the preimage by the scale factor of the dilation, k.
(x,y) → (kx,ky)
Let's plot the given vertices and draw the preimage on a coordinate plane.
Since we want to find the image of quadrilateral WXYZ after a dilation centered at the origin with the scale factor k=3, we will multiply the x -coordinate and the y -coordinate of each vertex by 3.
ccc
(x,y) & → & (3x,3y)
W(2,2) & → & W'(6,6)
X(2,0) & → & X'(6,0)
Y(0,1) & → & Y'(0,3)
Z(1,2) & → & Z'(3,6)
Finally, we can plot the new vertices and graph the image W'X'Y'Z'.
