Which of the following is not true for a parallelogram?
(A) opposite sides are equal
(B) opposite angles are equal
(C) opposite angles are bisected by the diagonals
(D) diagonals bisect each other.
Answer: (C) opposite angles are bisected by the diagonals
Solution.
Parallelogram: A parallelogram is a special type of quadrilateral whose opposite sides and angles are equal.
Hence we can say that the opposite sides of a parallelogram are of equal length (Option A) and the opposite angles of a parallelogram are of equal measure (Option B).
In parallelogram, diagonals bisect each other (Option D) but opposite angles are not bisected by diagonals (Option C).
Therefore option (C) is not true.