Question

By which congruency theorem will these triangles be proved that $\Delta ABC\cong \Delta FED$

• A. SAA similarity criterion
• B. SAS similarity criterion
• C. AA similarity criterion
• D. SSS similarity criterion

Answer 1

The correct option is B SAS similarity criterion

In $\Delta ABC$ and $\Delta FED$
$\overline{AF}=\overline{CD}$ (given)
$\overline{FC}=\overline{FC}$ (common)
$\therefore \overline{AC}=\overline{FD}$
$\overline{ED}=\overline{CB}$ (given)
$\angle FDE=\angle ACB$ (given)
$\Delta ABC\cong \Delta FED$ ( SAS similarity criterion )
Therefore, B is the correct answer.