Question

Indicate the method you would use to prove the two triangles are congruent. If no method applies, enter "none".

SSS
SAS
ASA
AAS
None

Answer 1

None, because first of all, there isn't an "AAA" congruence method. Second of all, the angles could be the same measure, but the lengths of the sides might differ.

Answer 2

The correct option is 5.

Explanation:

According SSS postulate of congruent triangles, two triangles are congruent if all corresponding sides are equal.

According SAS postulate of congruent triangles, two triangles are congruent if two corresponding sides and their included angle are equal.

According ASA postulate of congruent triangles, two triangles are congruent if two corresponding angles and their included side are equal.

According AAS postulate of congruent triangles, two triangles are congruent if two corresponding angles and the non-included side are equal.

From the given figure it is clear that the all three corresponding angled of both the triangles are congruent.

By AAA property of similarly, both triangles are similar.

AAA is not a postulate of congruent triangles, therefore none of the above methods were applied.

Therefore the correct option is 5.