Question

In ∆DEF and ∆PQR, it is given that ∠D = ∠Q and ∠R = ∠E, then which of the following is not true?

(a) EF/PR = DF/PQ 

(b) DE/PQ = EF/RP 

(c) DE/QR = DF/PQ 

(d) EF/RP = DE/QR

Answer 1

(b) DE/PQ = EF/RP 

In ∆DEF and ∆PQR, we have: 

∠D = ∠Q  and ∠R = ∠E

Applying AA similarity theorem, we conclude that ∆DEF ~ ∆QRP. 

Hence, DE/QR = DF/QP = EF/PR