Question

For two triangles PQR and XYZ, $\frac{PQ}{QR}=\frac{YZ}{ZX}$ and $\frac{QR}{PR}=\frac{ZX}{YX}$ .

• A. ∆PQR~ ∆YZX
• B. ∆RPQ ~ ∆YZX
• C. ∆PQR~∆XYZ

Answer 1

The correct option is A ∆PQR~ ∆YZX

$\frac{PQ}{QR}=\frac{YZ}{ZX}$

$\Rightarrow \frac{PQ}{YZ}=\frac{QR}{ZX}$ ----------- I

$\frac{QR}{PR}=\frac{ZX}{YX}$

$\Rightarrow \frac{QR}{ZX}=\frac{PR}{YX}$ -----------II

From I and II,

$\frac{PQ}{YZ}=\frac{QR}{ZX}=\frac{PR}{YX}$

$\therefore △PQR\sim △YZX$ by SSS axiom.