Triangles Test ...

In the above figure, $$ \text AD $$ = $$ \text  DC $$= $$ \text CB $$ and the measure of  $$\angle DAC$$ = $$40^o$$ . What is the measure of $$\angle DCB$$?

In, $$\triangle DEF$$ , if $$\angle $$ $$\text D$$ $$\equiv$$ $$\angle F$$, then:

Which of the following will form the sides of a triangle?

In $$\Delta PQR$$ and $$\Delta SQR$$, $$\overline{PQ}$$  =$$\overline{SR}$$ and $$\angle PQR = \angle QRS$$  then:

Take any point O in the interior of a triangle XYZ. Which option is/are correct?

In a triangle $$ABC, \angle ABC=50^{o}, \angle BAC=30^{o}$$, then the shortest sides is 

If $$\Delta ABC$$ and $$\Delta XYZ$$ are equilateral triangles and $$AB = XY,$$ the condition under which $$\Delta ABC \cong\Delta XYZ$$ is 

In $$\Delta ABC$$,

In $$\Delta PQR$$,

If $$\Delta PQR$$ in congruent to $$\Delta STU$$, then what is the length of $$TU$$?