Question

What is the scale factor of AUVWto AXYZ?хU14213NVwZ28O A. 30O B. 7OC.130OD;

Answer 1

To find the scale factor of the triangle UVW to the triangle XYZ, let's pick the smaller side of each triangle.

The smaller side of the triangle UVW is the side UW = 2 cm, and the smaller side of the triangle XYZ is the side XZ = 14 cm.

Now we need to find the ratio of the side XZ and the side UW, so we can see how many times bigger is the side XZ in comparison to the side UW:

`(XZ)/(UW)=(14)/(2)=7`

So the side XZ is 7 times bigger than the side UW.

Now, let's check if the other sides of the triangle XYZ are also 7 times bigger than the sides of the triangle UVW:

`\begin{gathered} (XY)/(UV)=(21)/(3)=7 \\ (YZ)/(VW)=(28)/(4)=7 \end{gathered}`

We can see that all three sides of the triangle XYZ are 7 times bigger than the corresponding sides of the triangle UVW, so the scale factor of the triangle UVW to the triangle XYZ is 7.

Correct option: B