Determine if the two triangles are congruent. if they are state how you know.

#3 is congruent by SAS; #4 is congruent by SSS; #5 is congruent by AAS; #6 is congruent by ASA

Step-by-step explanation:

For #3, there are sides marked in each so we know we have 2 congruent sides, but the angle where the triangles meet are vertical angles.  So that congruency statement is SAS

For #4, there are again two sides marked in each triangle giving us 2 congruent sides, but since the two triangles share that one side, that gives us the third side for SSS

For #5, we have two angles marked congruent between the two triangles and they also share a side, so AAS is the congruency statement for that one

For #6, again 2 congruent angles and a shared side between, so ASA on that one.

You're in geometry now, yes?