Question

If ΔABC and ΔGEF are congruent by the ASA criterion, which pair of angles must be congruent?

Answer 1

angleA=angleG
GF=AC
angleB=angleE

Answer 2

Pair of angles that are congruent is GE and BC

Solution:

According to the ASA criterion, the value of 2 angles and a side on which the angles resides should be same. Therefore in the above triangles it can be seen that angle E and G are equal to the angle of C and B respectively. Therefore, it can be said that the angles are equal and we can see that the side of triangle ABC and GEF i.e. CB = GE. Hence, it can be said that the pair of angles that are congruent is GE and BC. Hence, the pair is CB = GE.