Given a parallelogram ABCD Complete each statement along with the… - Vidyadip

Question

Given a parallelogram ABCD Complete each statement along with the definition or property used.

(i) $A D=$ _____________ $\qquad\text{ }$ (ii) $\angle D C B=$ _____________
(iii) $O C=$ _____________$\qquad$ (iv) $m \angle D A B+m \angle C D A=$ _____________

✓

Answer

(i) $A D=B C$, since in a parallelogram, opposite sides are equal.
(ii) $\angle D C B=\angle D A B$, since in a parallelogram, opposite angles are equal.
(iii) $O C=O A$, since the diagonals of a parallelogram bisect each other.
(iv) $m \angle D A B+m \angle C D A=180^{\circ}$, since in a parallelogram, the sum of any two adjacent angle is $180^{\circ}$.

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