Question

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

1. $AD$ = ......
2. $\angle \; DCB$ = ......
3. $OC$ = ......
4. $m\; \angle \;DAB + m \;\angle \;CDA$ = ......

Answer 1

(i) In a parallelogram, opposite sides are equal in length.
$AD = BC$

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(ii) In a parallelogram, opposite angles are equal in measure.
$\angle\; DCB = \angle \; DAB$

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(iii) In a parallelogram, diagonals bisect each other.
Hence, $OC = OA$

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(iv) In a parallelogram, adjacent angles are supplementary to each other.
Hence, $m\;\angle\; DAB +m\;\angle \;CDA =180°$

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