The given scale factor tells us to multiply the x -coordinate and the y -coordinate of each vertex by 0.5.
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 JKL after a dilation centered at the origin with the scale factor k=0.5, we will multiply the x -coordinate and the y -coordinate of each vertex by 0.5.
ccc
(x,y) & → & (0.5x,0.5y)
J(-8,0) & → & J'(-4,0)
K(-4,4) & → & K'(-2,2)
L(-2,0) & → & L'(-1,0)
Finally, we can plot the new vertices and graph the image J'K'L'.
