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Question

In the figure if AD = BC and  $$ \displaystyle AD\parallel BC $$ then
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A
AB = DC
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B
AB = AD
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C
BC = CD
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D
DC = AC
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Solution

The correct option is C AB = DC
In the given figure
AD = BC, AC = AC
 $$ \displaystyle \angle ADC=\angle ABC   $$    (  $$ \displaystyle \because AD\parallel BC  $$)
By SAS theorem  $$ \displaystyle \bigtriangleup ABC\equiv \bigtriangleup CDA $$
so AB = DC

Mathematics

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