Question

Prove that if two angles and one side of a triangle are equal to two angels and one side of another triangle. The triangle are congruent. Also check if the given pair of trangles are congruent? ​

Answer 1

Answer:

AAS: If two angles and a non-included (you can think of it as outside) side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. ... SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

Answer 2

Answer:

∆ABC~∆DEF

AB=DE ( given)

angle ABC= angle DEF ( given)

BC=EF ( given )

So, ∆ABC~∆DEF ( SAS )