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rewona [7]
3 years ago
12

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

Mathematics
2 answers:
Schach [20]3 years ago
7 0

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

galina1969 [7]3 years ago
4 0

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

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