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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