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Which of the following is an example of the A.S.A. criterion of congruency for two triangles ∠ACB and ∠DEF?

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$AB = EF, ∠ B = ∠ E and ∠ C = ∠ F$

$BC = EF, ∠ B = ∠ F and ∠ C = ∠ E$

$AC = BF, ∠ A = ∠ F and ∠ E = ∠ B$

$AC = BC, ∠ A = ∠ F and ∠ E = ∠ B$

answer is B.

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Detailed Solution

As by ASA criterion:

Two angles and the included side of one triangle are respectively equal to two angles and the included side of another triangle.

Then, $BC = EF, ∠ B = ∠ F and ∠ C = ∠ E$

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