Question

The segment below is the image of start overline, W, X, end overline
WX
after dilation by a scale factor of one third
3
1
​
.What is the measure of start overline, W, X, end overline
WX

Answer 1

I don't see the image or the dilated segment's measured length. But the relation is:

- If the image is produced by a dilation with scale factor k = 1/3, then image length = (1/3) × original length.
- So original length (|WX|) = image length ÷ (1/3) = 3 × (image length).

Give me the measured length of the dilated segment (from the picture) and I'll multiply by 3 to get |WX|. For example, if the image is 4 cm, then |WX| = 3 × 4 = 12 cm.