MCQ
In $\triangle\text{DEF}$ and $\triangle\text{PQR},$ it is given that $\angle\text{D}=\angle\text{Q}$ and $\angle\text{R}=\angle\text{E},$ then which of the following is not true?
  • A
    $\frac{\text{EF}}{\text{PR}}=\frac{\text{DF}}{\text{PQ}}$
  • $\frac{\text{DE}}{\text{PQ}}=\frac{\text{EF}}{\text{RP}}$
  • C
    $\frac{\text{DE}}{\text{QR}}=\frac{\text{DF}}{\text{PQ}}$
  • D
    $\frac{\text{EF}}{\text{RP}}=\frac{\text{DE}}{\text{QR}}$

Answer

Correct option: B.
$\frac{\text{DE}}{\text{PQ}}=\frac{\text{EF}}{\text{RP}}$
In $\triangle\text{DEF}$ and $\triangle\text{PQR},$ it is given that $\angle\text{D}=\angle\text{Q}$ and $\angle\text{R}=\angle\text{E}$
So, $\text{D}\leftrightarrow\text{Q},\text{E}\leftrightarrow\text{R},\text{F}\leftrightarrow\text{P}$
$\Rightarrow\frac{\text{DE}}{\text{QR}}=\frac{\text{EF}}{\text{RP}}=\frac{\text{DF}}{\text{QP}}$
So, $\frac{\text{DE}}{\text{PQ}}=\frac{\text{EF}}{\text{RP}}$ is not true.

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