In the middle of the park …

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In the middle of the park abcd in the form of a parallelogram form so that ab=cd,ab parallel cd and ad=bc ,ad parallel bc
Municipality converted this park into a rectangular form by adding land in the form of ∆apd and ∆bcq both the triangular shape of land were covered by planting flower plants
1.show that ∆apd and ∆bqc are congruent
2.pd is equal to which side
3.show tha ∆abc and ∆cd are congruent
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