The given scale factor tells us to multiply the x -coordinate and the y -coordinate of each vertex by 34.
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 JKLM after a dilation centered at the origin with the scale factor k= 34, we will multiply the x -coordinate and the y -coordinate of each vertex by 34.
ccc
(x,y) & → & (3/4x,3/4y) [0.8em]
J(-2,0) & → & J'(-1.5,0)
K(2,4) & → & K'(1.5,3)
L(8,0) & → & L'(6,0)
M(2,-4) & → & M'(1.5,-3)
Finally, we can plot the new vertices and graph the image J'K'L'M'.
