The two triangles below are similar. what is the similarity ratio of ∆abc to ∆def?
a) 3: 1
b) 1: 3
c) 2: 1
d) 1: 2

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

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:

In this case we know that:

Therefore

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

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