Question

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



The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 78 mm and SV = 102 mm, what is the length of side WZ?
A.
306 mm
B.
34 mm
C.
234 mm
D.
26 mm

Answer 1

Corresponding vertices: S→W and V→Z, so WZ corresponds to SV. With scale factor 3:1 (STUV : WXYZ), each STUV length is 3 times the corresponding WXYZ length. Thus WZ = SV ÷ 3 = 102 ÷ 3 = 34 mm.

Answer: B (34 mm).