The given scale factor tells us to multiply the x -coordinate and the y -coordinate of each vertex by 1.25.
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 STV after a dilation centered at the origin with the scale factor k=1.25, we will multiply the x -coordinate and the y -coordinate of each vertex by 1.25.
ccc
(x,y) & → & (1.25x,1.25y)
S(0,0) & → & S'(0,0)
T(-4,0) & → & T'(-5,0)
V(-8,-8) & → & V'(-10,-10)
Finally, we can plot the new vertices and graph the image S'T'V'.
