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?

Are the triangles similar If they are identify the similarity ratio A Yes the similarity ratio is 14 B Yes the similarity ratio is 15 C Yes the similarity ratio class=

Respuesta :

Answer: C is the correct answer.


Step-by-step explanation:


Answer:

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 [tex]3:9[/tex].

When we simplify this ratio, we get [tex]1:3[/tex].



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 [tex]6:18[/tex].

When we simplify this ratio, we get [tex]1:3[/tex].


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 [tex]5:15[/tex].

When we simplify this ratio, we get [tex]1:3[/tex].


Therefore the similarity ratio is  [tex]1:3[/tex].