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Q.

In ∆ABC and ∆DEF, ∠A = ∠D, ∠C = ∠F, and AC = DF, then by which criterion ∆ABC  ∆DEF?

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a

SSS criterion

b

SAS criterion

c

RHS criterion

d

ASA criterion

answer is C.

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Detailed Solution

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As In ∆ABC and ∆DEF: ∠A = ∠D, ∠C = ∠F, and AC = DF

Since two angles and the included side of one triangle is equal to the two angles and the included angle of another triangle. Then, by the ASA criterion, ABC  DEF

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