Question
Which congruence criterion is used in the following?
Given: ∠MLN=∠FGH,∠NML=∠HFG,ML=FG
So ΔLMN≅ΔGFH  [2 MARKS]
Given: ∠MLN=∠FGH,∠NML=∠HFG,ML=FG
So ΔLMN≅ΔGFH  [2 MARKS]
Answer:
:
Steps: 1 Mark
Proof: 1 Mark
It is given that,
∠MLN=∠FGH,
∠NML=∠HFG,
ML=FG.
⇒ The two angles and an included side of one triangle are equal to the corresponding angles and an included side of other triangles.
∴ΔLMN≅ΔGFH [By ASA congruence criterion]
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:
Steps: 1 Mark
Proof: 1 Mark
It is given that,
∠MLN=∠FGH,
∠NML=∠HFG,
ML=FG.
⇒ The two angles and an included side of one triangle are equal to the corresponding angles and an included side of other triangles.
∴ΔLMN≅ΔGFH [By ASA congruence criterion]
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