If BCD and EFG are congruent by SAS congruence postulate and AB = MN, B =N, then which is the additional equality is right to complete the postulate?

EF = CD

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CD = FG

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BD = EG

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D = E

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Solution

The correct option is B
CD = FG

Since, one side and one angle are equal to the one side and one angle of second triangle, then, one side is also needed to be equal to complete the postulate.

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In the given figure it is given that AB = CF, EF = BD and $∠$ AFE = $∠$ DBC. Then $△$ AFE is congruent to $△$ CBD by which criterion?

If two right-angled triangles have their hypotenuses and one side equal,
then the two triangles are congruent by SAS congruence rule.

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