Olympiad/HOTS corner

Which of the following triangles is congruent to the given triangle?

In the given figure, which of the following is correct?

In the given figure, state whether the triangles are congruent and choose the correct order.

In $\Delta ABC$ and$∆LMN$ , $AB=LM$ and $BC=MN$. Which of the following conditions can make the two triangles congruent?    

By which congruency criterion, the two triangles in the given figure are congruent?

 In the given figure, $M$ is the mid-point of both $AC$ and $BD$. Then

In an isosceles triangle $XYZ$ with $XY=XZ, XP$ bisects the base $YZ$. Which of the following congruence criterion can be used to conclude that $△XYP\cong △XZP?$

 In two triangles $ABC$ and $FDE, \angle B = \angle D=90°, AC=FE$ and $BC=DE.$ Then $\angle F =$