Question:
Given below is a parallelogram ABCD. Complete each statement along with the definition or property used.
(i) AD =
(ii) ∠DCB =
(iii) OC =
(iv) ∠DAB + ∠CDA =.png)
Solution:
The correct figure is
(i) $\mathrm{AD}=\mathrm{BC}$ (opposite sides of a parallelogram are equal)
(ii) $\angle \mathrm{DCB}=\angle \mathrm{BAD}$ (opposite angles are equal)
(iii) $\mathrm{OC}=\mathrm{OA}$ (diagonals of a prallelogram bisect each other)
(iv) $\angle \mathrm{DAB}+\angle \mathrm{CDA}=180^{\circ}$ (the sum of two adjacent angles of a parallelogram is $180^{\circ}$ )