Question

The two triangles below are similar. What is the similarity ratio of ∆ABC to ∆DEF?

Answer 1

Answer:

Option C is correct

Step-by-step explanation:

The two triangles are similar if there sides are proportional to each other

So, In Triangle ABC and Triangle DEF

AB/DE=BC/EF=AC/FD

according to definition of similar triangles.

We are given AC = 8

and FD = 4

So, AC/FD = 8/4 = 2/1

or 2:1

So, Option C is correct

Answer 2

Answer: Option C

2:1

Step-by-step explanation:

Two triangles are similar if the ratio of their sides is proportional.

In this case we have the triangle ∆ABC and ∆DEF so for the sides of the triangles they are proportional it must be fulfilled that:

$\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

In this case we know that:

$AC=8$

$DF=4$

Therefore

$\frac{AC}{DF} = \frac{8}{4}\\\\\frac{AC}{DF} = \frac{2}{1}$

The similarity ratio of ∆ABC to ∆DEF is 2:1