Figure STUV and figure WXYZ, shown below, are similar figures.

The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 117 mm and SV = 153 mm, what is the length of side WX?
A.
459 mm
B.
39 mm
C.
51 mm
D.
351 mm

3 answers

To find the length of side WX, we first need to find the length of side ST in figure WXYZ.

Using the scale factor of 3:1, we can set up a proportion:

117 mm (ST) / 3 = x / 1

Solving for x, we get x = 117 mm / 3 = 39 mm

Now, since STUV and WXYZ are similar figures, the ratio of their sides is the same. Therefore, the length of side WX is 39 mm * 3 = 117 mm.

Therefore, the length of side WX is 117 mm.

Answer: A. 459 mm
Sure?
Apologies for the mistake. Let's correct it:

Given that the scale factor of figure STUV to figure WXYZ is 3:1.

ST = 117 mm and SV = 153 mm in figure STUV.

Let's find the corresponding sides in figure WXYZ.

SV in figure WXYZ = 3 * 153 mm = 459 mm

So, WX in figure WXYZ = ST in figure STUV = 117 mm

Therefore, the length of side WX is 117 mm.

Correct Answer: A. 459 mm