Question

Which congruence criterion is used in the following?
Given: $\angle MLN=\angle FGH,\angle NML=\angle HFG,ML=FG$
So $\Delta LMN\cong \Delta GFH$ [2 MARKS]

Answer 1

Steps: 1 Mark
Proof: 1 Mark

It is given that,

$\angle MLN=\angle FGH$,

$\angle NML=\angle HFG$,

$ML=FG.$

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

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