Question

11. Quadrilateral GHJK is similar to

quadrilateral RSTU. If GH = JK = 10,
HJ = KG = 14, and RS = TU = 16, what is
the scale factor of quadrilateral GHJK to
quadrilateral RSTU?

Answer 1

Answer: the scale factor is 1.6

Explanation:

The attached photo shows Quadrilateral GHJK and Quadrilateral RSTU. Since they are similar quadrilaterals,

KG/UR = JG/TS = GH/RS = KJ/UT

10/16 = 14/TS

10TS = 16×14 = 224

TS = UR = 224/10 = 22.4

The scale factor is

16/10 = 22.4/12 = 1.6