1) By the SSS postulate we can tell that these two triangles are congruent.
-> What is SSS?
[] When three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are said congruent by side-side-side
[] The proof for the assignment
AB = DF, AC = DE, BC = EF | Given
The triangles are congruent | SSS Postulate
2) We can use AAS for these two triangles.
-> What is AAS?
[] When one side and two angles of a triangle are congruent to one side and two angles of another triangle, then the two triangles are said congruent by angle-angle-side
-> How does this apply here?
[] We are given that two angles are congruent to each other, so the angle-angle part is solved for. Since these two triangles share a side, that side will be congruent for each triangle, giving us angle-angle-side
[] The proof for the assignment
Angle T = angle N, angle TAB = angle NAB | Given
AB = AB | Reflexive Property
The triangles are congruent | AAS Postulate
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
