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lozanna [386]
3 years ago
6

Given that DF/PR=FE/RQ=3/2, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0

Answer:

D

Step-by-step explanation:

lora16 [44]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

Given information: \frac{DF}{PR}=\frac{FE}{RQ}=\frac{3}{2}.

We need to find the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem.

According to the SSS similarity theorem, two triangles are similar if their corresponding sides are proportional.

Using  SSS similarity theorem, both △DEF and △PQR are similar if

\frac{DE}{PQ}=\frac{E F}{Q R}=\frac{DF}{PR}

If can be written as

\frac{DE}{PQ}=\frac{FE}{RQ}=\frac{DF}{PR}

It is given that \frac{DF}{PR}=\frac{FE}{RQ}=\frac{3}{2}.

So, the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem is \frac{DE}{PQ}=\frac{3}{2}.

Therefore, the correct option is D.

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