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Question

Which congruence criterion do you use in the following?
Given: $$\angle$$MLN$$=\angle$$FGH, $$\angle$$NML$$=\angle$$HFG, ML$$=$$FG. So $$\Delta$$LMN$$\equiv \Delta$$GFH.
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Solution

By ASA congruence criterion,
 since it is given that
 $$\angle$$MLN$$=\angle$$FGH, $$\angle$$NML$$=\angle$$HFG, ML$$=$$FG.
The two angles and one side in one of the triangle 
are equal to the corresponding angles and side of
 other triangle.
Therefore,
 $$\Delta$$LMN$$\equiv\Delta$$GFH.

Mathematics
NCERT
Standard VII

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