Question

Which congruence criterion is used in the following?

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

• A. SAS Congruence Criterion
• B. AAS Congruence Criterion
• C. ASA Congruence Criterion
• D. SAA Congruence Criterion

Answer 1

The correct option is C ASA Congruence Criterion


Given:

$\angle MLN=\angle FGH$,

$\angle NML=\angle HFG$,

$ML=FG.$

$\Rightarrow$ The two angles and an included side in one of the triangle are equal to the corresponding angles and side of other triangles.

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