Question

what is the scale factor of triangle UVW to triangle XYZ where uvw has side Lengths 3,4,2, and XYZ has lengths 14,28,21

Answer 1

Answer: 7

Step-by-step explanation:

Given:  Triangle UVW map to triangle XYZ where Triangle UVWhas side Lengths 3,4,2, and triangle XYZ has lengths 14,28,21.

We know that the scale factor between two similar figures is the the ratio of the corresponding side of image to the original figure.

Let k be the scale factor.

Then,

$k=\frac{21}{3}=\frac{14}{2}=\frac{28}{4}=7\\\\\Rightarrow\ k=7$

Hence, the scale factor = 7