Question

Triangle ABC was dilated using the rule 1ceea872d4e6081388b6d08865964aef.png.

Point Y is the center of dilation. Triangle A B C is dilated to form triangle A prime B prime C prime.

If CA = 8, what is C'A'?

10 units
12 units
16 units
20 units

Answer 1

I don't have the dilation rule image, so I can't tell the scale factor yet. Could you either paste the rule (e.g. Y,(x,y) → (…)) or upload the image?

How to get the answer once I have that:
- Find the scale factor k from the rule (or from distances): k = (distance from Y to A')/(distance from Y to A) (or use any pair of corresponding points).
- Then C'A' = k × CA.

For the four answer choices that gives these possible k values:
- 10 units → k = 10/8 = 1.25
- 12 units → k = 12/8 = 1.5
- 16 units → k = 16/8 = 2
- 20 units → k = 20/8 = 2.5

Send the dilation rule or image and I’ll pick the correct choice and show the work.