In the given figure, if AD = BC and AB || CD then which of the following is true?

AB = DC

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AB = AD

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BC = CD

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Solution

The correct option is A AB = DC
In △ABC and △ADC
AD = BC (given)
AC = CA (common)
and ∠DAC = ∠BCA (alternate angles between two parallel lines)

Therefore, we can say that △DAC is congruent to △BCA.

Hence, by CPCT, we can say that AB = DC.

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