Are two triangles always congruent if they have the following corresponding parts congruent?
a
two sides and an angle. explain your response.

Not necessarily.

Step-by-step explanation:

The two triangles can be always congruent if the given parts i.e two sides and an angle are congruent provided that the angle is between the two congruent sides, otherwise the two triangles may not be congruent.

This is known as Side Angle Side condition for congruency.

Other congruency conditions inclue SSS - Side side side i.e all three sides of both triangles are congruent and ASA - Angle Side Angle i.e two angles and their including side of the two triangles are congruent.

(-5,-28)

i graphed to on desmos.