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

Question

Given a parallelogram ABCD. Complete each statement along with the definition property used. (i) (ii) (iii) (iv)

Philoid · Accepted Answer

(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°