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; 1:4
B. yes; 1:6
C. yes; 1:8
D. no

Answer 1

B

3x6=18
4x6=24
16x6=96
The second picture is 6 times bigger than the first so it's 1 to 6

Answer 2

Answer:

The answer is the option B

yes; $\frac{1}{6}$

Step-by-step explanation:

we know that

If two figures are similar

then

The ratio of their corresponding sides must be equal

Verify

$\frac{16}{96}=\frac{4}{24}=\frac{3}{18}$

Simplify

$\frac{1}{6}=\frac{1}{6}=\frac{1}{6}$  

therefore

The two figures are similar and the ratio of the smaller figure to the larger figure is equal to $\frac{1}{6}$