6. Angle-Angle-Side
You need to determine that both angles are congruent along with one of the sides:
Corresponding angles are equal as well as one corresponding pair of sides, but this side is not in touch with both angles.
7. Angle-Side-Angle
To determine if this congruence postulate is correct, the corresponding angles must be congruent as well as the side they share:
Corresponding angles are equal and the corresponding sides they share are equal too.
8. Side-Angle-Side
The corresponding sides and the angle between them are equal:
In this case triangle LMN is iscoceles and line MO is a bisector that divides the side LN into two lines of equal lenght LO=ON
Sides LM=MN
And the base angles of an iscoceles triangle are equal so ∠L=∠N
9. Angle-Side-Angle
Same as in item 7, Both angles are their corresponding angles in the other triangle are equal as well as the side they share. In this case:
∠A=∠E
∠B=∠D
AB=DE
10. Side-Angle-Side
Same as in item 8, Two corresponding sides are equal and the angles formed by them.
AC=DF
CB=FE
∠C=∠F