Question

In quadrilateral RSTU, RS = 60 mm, ST = 60 mm, TU = 112 mm, and UR = 112 mm.

If quadrilateral VWXY is similar to quadrilateral RSTU, which side lengths could be the side lengths of quadrilateral VWXY?
A.
VW = 15 mm, WX = 15 mm,
XY = 28 mm, YV = 28 mm

B.
VW = 30 mm, WX = 30 mm,
XY = 112 mm, YV = 112 mm

C.
VW = 56 mm, WX = 56 mm,
XY = 108 mm, YV = 108 mm

D.
VW = 60 mm, WX = 60 mm,
XY = 56 mm, YV = 56 mm

Answer 1

A. factor 4

Explanation:

Just choose any side of the original one e.g 60mm and divide it by the lenght of the same side of the new one. In A. this gives you 60mm/15mm = 4. Then you can multiply the other lengths with that factor and if the result is equal to the sides of your original one you found the solution.