Question

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​

Answer 1

Answer: Option C

2:1

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:

`(AB)/(DE)=(BC)/(EF)=(AC)/(DF)`

In this case we know that:

`AC=8`

`DF=4`

Therefore

`(AC)/(DF) = (8)/(4)\\\\(AC)/(DF) = (2)/(1)`

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

Answer 2

Option C is correct

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