120k views
4 votes
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

8. ∆A′B′C′ is a dilation image of ∆ABC. Which is the correct description of the dilation-example-1
User Morganis
by
8.2k points

2 Answers

7 votes
center c and a scale factor of 2
User Gilesrpa
by
8.2k points
4 votes

Answer: C) center C and scale factor 2

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 =
(C'A')/(CA) =
(10)/(5) = 2

Thus, the scale factor is 2.

Therefore, Option C is correct.

User Benjol
by
7.4k points