How to properly explain that two angles are not congruent?

Question

There are two triangles, ABC and DEF. B is the vertex of ABC and E is the vertex of DEF. A makes the left base of ABC and D makes the left base of DEF. Both angles of the vertexes are congruent, side BC is congruent to EF, but angle A is congruent to angle F when a makes the left base and F makes the right in the other triangle. How to explain that triangle ABC is not congruent to FED?

Answer 1

I'm not very good with geometry, but draw out the triangle if it's not already and look at the postulates (SSS, SAS, ASA, AAS).

Answer 2

Hello Shelly,

You cannot say for sure if the two triangles are congruent or not. It depends on whether AB and DE are congruent to BC and EF, or not.