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
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