The given scale factor tells us to multiply the x -coordinate and the y -coordinate of each vertex by 0.75.
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 triangle DFG after a dilation centered at the origin with the scale factor k=0.75, we will multiply the x -coordinate and the y -coordinate of each vertex by 0.75.
ccc
(x,y) & → & (0.75x,0.75y)
D(4,4) & → & D'(3,3)
F(0,0) & → & F'(0,0)
G(8,0) & → & G'(6,0)
Finally, we can plot the new vertices and graph the image D'F'G'.
