The given scale factor tells us to multiply the x -coordinate and the y -coordinate of each vertex by 13.
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 ABC after a dilation centered at the origin with the scale factor k= 13, we will multiply the x -coordinate and the y -coordinate of each vertex by 13.
ccc
(x,y) & → & (1/3x,1/3y) [0.8em]
A(9,9) & → & A'(3,3)
B(3,3) & → & B'(1,1)
C(6,0) & → & C'(2,0)
Finally, we can plot the new vertices and graph the image A'B'C'.
