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Question

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). From the figure, which of the following can be deduced?


  1. ΔABCΔBCE

  2. ΔABCΔBAD

  3. ΔABCΔBCD

  4. None of these


Solution

The correct option is B

ΔABCΔBAD




ABCD is an isosceles trapezium (given)
Hence, DAB=CBA    ...(base angles of an isosceles trapezium)
In BAD and ABC,
(i) AD=BC    ...(given)
(ii) DAB=CBA    ... (base angles of an isosceles trapezium)
(iii) AB=AB     ...(common)
(iv) ABC     ...(SAS Postulate)

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