Question

What is the scale factor of the dilation?

Answer 1

Answer:

1/3

Step-by-step explanation:

To find the scale factor write a ratio from the side length of the small triangle to a corresponding side length of the large triangle.

C'B' has the distance 3 units and CB has the distance 9 units.

The ratio then is 3/9 = 1/3. So the scale factor is 1/3 because it is shrinking the larger triangle to the smaller as shown by the ' marks on the letters.

Answer 2

Answer: C. $\dfrac{1}{3}$

Step-by-step explanation:

The coordinates of vertices of any figure(pre-image) (x,y) after dilation with scale factor 'k' will become : (kx,ky)→ Image.

such that $k=\dfrac{\text{coordinate of x in image}}{\text{coordinate of x in pre-image}}$

From the given figure, the coordinates of point C (in pre-image)=(-6,-6)

And the coordinates of image = (-2,-2)

$\\\\\Rightarrow\ k=\dfrac{-2}{-6}=\dfrac{1}{3}$

Hence, the scale factor of the dilation  = $\dfrac{1}{3}$