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Q.

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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a

AB = EF, B = E and C = F

b

BC = EF, B = F and C = E  

c

AC = BF, A = F and E = B  

d

AC = BC, A = F and E = B  

answer is B.

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Detailed Solution

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