Question

What is the scale factor of UVW to XYZ?

Answer 1

XZ ~ UW
UV ~ XY
VW ~ YZ

Take any corresponding side and the ratio of it is your answer.

Example :

XZ / UW = 14/ 2 = 7
XY / UV = 21 / 3 = 7
YZ / VW = 28 / 4 = 7

Therefore, your answer is B. 7

Answer 2

The scale factor is 7.

Explanation:

In the image attached, you can observe that both triangles are similar, and we can establish the following proportionality

`(UW)/(XZ)=(UV)/(XY)=(WV)/(ZY)`

Replacing the length of each side, we have

`(2)/(14)=(3)/(21)=(4)/(28)\\(1)/(7)= (1)/(7)=(1)/(7)\\7=7=7`

Therefore, the scale factor between these triangles is 7, that is, ΔXYZ is seven times bigger than ΔUVW