Question

$\text{If in}△CAB\text{and}△FED,$

$\frac{AB}{EF}=\frac{BC}{FD}=\frac{AC}{ED}$,

$\text{then which of the following is true?}$

• A. $△ABC\sim △DEF$
• B. $△CAB\sim △FED$
• C. $△ABC\sim △EFD$
• D. $△CAB\sim △EFD$

Answer 1

The correct option is C

$△ABC\sim △EFD$

If in two triangles, the corresponding sides are in the same ratio, then their corresponding angles are equal.

$\text{Here, in}△CAB\text{and}△FED,$

$\frac{AB}{EF}=\frac{BC}{FD}=\frac{AC}{ED}\text{(given)}$

$\therefore △ABC\sim △EFD.$