Triangle Congruence

What postulate or theorem proves that $$\Delta ALE\cong\Delta RTE$$  ?

What postulate or theorem proves that $$\Delta ALT\cong\Delta RTL$$  ?

What triangle congruence postulate or theorem justifies the congruency of $$\Delta RTO\ and\ \Delta BSO$$ ?

What triangle congruence postulate or theorem justifies the congruency of $$\Delta IEL\cong\Delta EIF$$ ?

What parts of the triangles must be marked so that $$\Delta HOE\ and\ \Delta POE$$  are congruent via AAS Theorem?

It states that the two triangles are congruent if the three sides of the triangle are congruent to the corresponding three sides of the other triangle.

It states that the triangles are congruent if two sides and the included angle of the triangle are congruent to the corresponding two sides and the included angle of the other triangle.

It states that the triangles are congruent if two angles and the included side are congruent to the corresponding two angles and the included side of the other triangle.