Question

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?

Answer 1

Answer: C is the correct answer.

Explanation:

Answer 2

C. Yes, the similarity ratio is 1:3

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
`3:9`.

When we simplify this ratio, we get
`1:3`.

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
`6:18`.

When we simplify this ratio, we get
`1:3`.

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
`5:15`.

When we simplify this ratio, we get
`1:3`.

Therefore the similarity ratio is
`1:3`.