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Question
Which congruence criterion do you use in the following?
Given: ∠MLN=∠FGH, ∠NML=∠HFG, ML=FG. So ΔLMN≡ΔGFH.
Given: ∠MLN=∠FGH, ∠NML=∠HFG, ML=FG. So ΔLMN≡ΔGFH.
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Solution
By ASA congruence criterion, since it is given that ∠MLN=∠FGH, ∠NML=∠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, ΔLMN≡ΔGFH.
since it is given that
∠MLN=∠FGH, ∠NML=∠HFG, ML=FG.
The two angles and one side in one of the triangle
The two angles and one side in one of the triangle
are equal to the corresponding angles and side of
other triangle.
Therefore,
Therefore,
ΔLMN≡ΔGFH.
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