Question

select the correct answer from each drop - down menu.
the condition angle c is congruent to angle g proves that $\triangle abc$ and $\triangle efg$ are congruent by the sas criterion.
if $ab\
eq ef$, the drop - down menu with options ssa, asa, sss, sas criterion for congruency is violated. in this situation, angle c drop - down menu angle g.

Explanation:

Step1: Analyze SAS congruency requirement

SAS needs 2 sides + included angle congruent. Given: $AC \cong EG$, $BC \cong FG$. For SAS, included angles $\angle C \cong \angle G$ is needed.

Step2: Analyze violated criterion

If $AB
eq EF$, the pairs are 2 sides, non-included angle (SSA setup), so SSA is violated.

Step3: Compare angles in SSA case

In SSA with unequal non-corresponding sides, $\angle C
ot\cong \angle G$.

Answer:

1. The condition angle C is congruent to angle G proves that $\triangle ABC$ and $\triangle EFG$ are congruent by the SAS criterion.
2. If $AB

eq EF$, the SSA criterion for congruency is violated. In this situation, angle C is not congruent to angle G.