Question

For the given triangles, which of the following is true?

• A. $△PQR\sim △YZX$
• B. $△RPQ\sim △YZX$
• C. $△PQR\sim △ZYX$
• D. None of the above

Answer 1

The correct option is C

$△PQR\sim △ZYX$

$\text{In}△PQR\text{and}△ZYX$,

$\frac{PQ}{ZY}=\frac{7}{14}=\frac{1}{2}$

$\frac{QR}{YX}=\frac{9}{18}=\frac{1}{2}$

$\frac{RP}{XZ}=\frac{8}{16}=\frac{1}{2}$

$\Rightarrow \frac{PQ}{ZY}=\frac{QR}{YX}=\frac{RP}{XZ}$

$\therefore △PQR\sim △ZYX$
$\text{(by SSS similarity criterion)}$