Question

8.
∆A′B′C′ is a dilation image of ∆ABC. Which is the correct description of the dilation?



A) center A and scale factor 2


B) center C and scale factor 1


C) center C and scale factor 2


D) center A and scale factor 5

Answer 1

center c and a scale factor of 2

Answer 2

Answer: C) center C and scale factor 2

Step-by-step explanation:

Since, The center of a dilation is a fixed point in the plane about which all points are expanded or contracted.

Therefore, By the given diagram we can say that the image is dilated along the point C.

⇒ C is the center of the dilation.

Since, for the given diagram the scale factor of dilation = $\frac{C'A'}{CA}$ = $\frac{10}{5} = 2$

Thus, the scale factor is 2.

Therefore, Option C is correct.