The given scale factor tells us to multiply the x -coordinate and the y -coordinate of each vertex by 2.
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 ABCD after a dilation centered at the origin with the scale factor k=2, we will multiply the x -coordinate and the y -coordinate of each vertex by 2.
ccc
(x,y) & → & (2x,2y)
A(-1,4) & → & A'(-2,8)
B(2,4) & → & B'(4,8)
C(3,2) & → & C'(6,4)
D(-2,2) & → & D'(-4,4)
Finally, we can plot the new vertices and graph the image A'B'C'D'.
