In $\Delta ABC$ and $\Delta PQR$,$AB = PR$,$BC = RQ$ and $\angle B = \angle R$,then $\Delta ABC \cong \Delta \ldots$

In the given figure,$PS = QR$ and $PR = QS$. Prove that $(1) \angle PSQ = \angle QRP$ and $(2) \angle SPQ = \angle RQP$.

$l$ and $m$ are two parallel lines intersected by another pair of parallel lines $p$ and $q$ (see Fig). Show that $\Delta ABC \cong \Delta CDA$.

$ABCD$ is a quadrilateral such that $AB = AD$ and $CB = CD$. Prove that $AC$ is the perpendicular bisector of $BD$.

Prove that if in two triangles,two angles and the included side of one triangle are equal to two angles and the included side of the other triangle,then the two triangles are congruent.

In $\Delta PQR$ and $\Delta XYZ$,if $\angle P = \angle Z$,$\angle Q = \angle Y$,and $PQ = YZ$,then $\Delta PQR \cong \Delta \ldots \ldots \ldots$