Question

Which pair of triangles cannot be proven congruent with the given information?

Answer 1

In proving the congruence of two triangles, there are four theorems which make use of the given angles and sides. The four are SSS, SAS, ASA, and AAS. S stands for the side and A stands for the angle. The order of the three dimensions is important. The first picture or choice A is the only one that did not follow (SSA). B has ASA, C has AAS and D has AAS, too. The answer to this problem is A. 

Answer 2

The first figure pair of triangles cannot be proven congruent.

Proving for congruence of a pair of triangles is using the postulates SSS (side-side-side), ASA (angle-side-angle) and AAS (angle-angle-side).

SSA (same side-side-angle) is a condition wherein two triangles have two same sides and a non-included angle. More information such as the two corresponding angles and two corresponding sides might be needed to prove congruence