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

Question

Mathematics

Emilee

8 February, 14:24

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

+1

Answers (1)

Know the Answer?

Alfred Lin · Answer 1

A. factor 4

Step-by-step 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.