Are the triangles similar? if they are, identify the similarity ratio.
a. yes, the similarity ratio is 1: 4
b. yes, the similarity ratio is 1: 5
c. yes, the similarity ratio is 1: 3
d. no, the triangles are not similar

so, i feel like d is out of the equation. because the only difference is the shape and size. i was staring to lean towards c. can anyone give me their two cents on this?

C. Yes, the similarity ratio is 1:3

Step-by-step explanation:

The two triangles are similar because the corresponding sides are proportional.

The length of the side of the smaller triangle that is 3 units corresponds to the length of the side of the bigger triangle that is 9 units.

These two sides are in the ratio .

When we simplify this ratio, we get .

The length of the side of the smaller triangle that is 6 units corresponds to the length of the side of the bigger triangle that is 18 units.

These two sides are in the ratio .

When we simplify this ratio, we get .

The length of the side of the smaller triangle that is 5 units corresponds to the length of the side of the bigger triangle that is 15 units.

These two sides are in the ratio .

When we simplify this ratio, we get .

Therefore the similarity ratio is  .