Question

Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure. The figures are not drawn to scale

A. yes; 1:1:2
B. yes; 1:1:4
C. yes; 1:2:4
D. no

Answer 1

we have that
smaller figure
ha=8.7
ra=1.6

larger figure
hb=10.44
rb=1.92

ha/hb=8.7/10.44----> 0.83
ra/rb=1.6/1.92-------> 0.83

ratio smaller figure to the larger figure
1.6/1.92-------> divided by 1.6 both members
[1.6/1.6]/[1.92/1.6]-------> 1/1.2

the ratio ha/hb is equal to the ratio ra/rb
so
the smaller figure and the larger figure are similar
and the ratio smaller figure to the larger figure is equal to----> 1/1.2

the answer is
the option
yes 1/1.2