Question

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

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

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.