Construction

Draw  a  parallelogram  ABCD  in  which  BC  =  5  cm,  AB  =  3  cm  and ∠ABC  =  60°,  divide  it  into  triangles  BCD  and ABD  by  the  diagonal  BD. Construct the triangle BD’ C’ similar to ∆BDC with scale factor  4/3 . Draw the  line segment D’A’ parallel to DA where A’ lies on extended side BA. Is A’BC’D’ a parallelogram?