question_answer 14)

                Given a parallelogram ABCD. Complete each statement along with the definition or property used.                 (i) AD =                 (ii) \[\angle DCB=\]                 (iii) OC =                 (iv) \[m\angle DAB+m\angle CDA=\]

Answer:

                (i) AD = BC           | Opposite sides are equal                 (ii) \[\angle DCB=\angle DAB\] | Opposite angles are equal                 (iii) OC = OA                                 |\[\because \] Diagonals bisect each other                 (iv) \[m\angle DAB+m\angle CDA={{180}^{\text{o}}}\] | Interior opposite angles, since \[\overline{AB}||\overline{DC}\].