Question

In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form:  

Answer 1

We have : 

`(DE)/(QR)=2.5/5=1/2` 

`(EF)/(PQ)=2/4=1/2` 

`(DF)/(PR)=3/6=1/2` 

⇒` (DE)/(QR)=(EF)/(PQ)=(DF)/(PR)` 

Therefore, by SSS similarity theorem, Δ FED- Δ PQR