Answer:
The center of the dilation is (0 , 0) ⇒ answer A
Step-by-step explanation:
* Lets talk about dilation
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the
figure does not change.
- The scale factor, measures how much larger or smaller
the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
- The dilation has a center which we measure all the size from it
- If the center is the origin we multiply the scale factor by the
coordinates of the points
- For a dilation not at the origin, we measure the distances.
* In the problem
- In ΔABC:
∵ A = (-4 , -4) , B = (2 , -2) and C = (0 , 4)
∵ The scale factor is 1/2
∵ A' = (-2 , -2)
- If we multiply A (-4 , -4) by the scale factor 1/2, about the center origin
then the image A' = (-2 , -2)
∴ The center of the dilation is (0 , 0)
