Question

Which congruence criterion is used in the following?

Given: $\angle MLN=\angle FGH,\angle NML=\angle HFG,ML=FG$
So, $\Delta LMN\cong \Delta GFH$

Answer 1

Given: $\angle MLN=\angle FGH$, $\angle NML=\angle HFG$, $ML=FG.$

If the two angles and the included side of one triangle are respectively equal to the two angles and the included side of the other triangle, then the two triangles are congruent by the ASA rule.

$\therefore \Delta LMN\cong \Delta GFH$ [By ASA congruence criterion]