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Question

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

(i) AD = …

(ii) ∠DCB = …

(iii) OC = …

(iv) m∠DAB + m∠CDA = …

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Solution

(i) In a parallelogram, opposite sides are equal in length.

AD = BC

(ii) In a parallelogram, opposite angles are equal in measure.

∠DCB = ∠DAB

(iii) In a parallelogram, diagonals bisect each other.

Hence, OC = OA

(iv) In a parallelogram, adjacent angles are supplementary to each other.

Hence, m∠DAB + m∠CDA =180°


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