Question

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

Answer 1

3,4,5 are congruent angles

Explanation:

Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.

Answer 2

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

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?