Practice30Create account

Four conditions are proposed to decide if a quadrilateral is a parallelogram:
A) both pairs of opposite sides equal,
B) one pair of opposite sides equal and parallel,
C) diagonals bisect each other,
D) one pair of opposite sides parallel and the other pair equal.
Which of these is NOT always sufficient by itself?

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • AD
  • BA
  • CB
  • DC

Step-by-Step Solution

Conditions A, B and C are standard sufficient conditions. Condition D (one pair parallel, the other pair merely equal) can also produce an isosceles trapezium, so it is not always sufficient.
Answer: A) D

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Conditions for a Parallelogram practice questions

More Class 9 Conditions for a Parallelogram practice

ABCD is a parallelogram. On side AB a point E is taken and on side DC a point F is taken…A quadrilateral is a parallelogram if both pairs of its opposite sides are:A quadrilateral is a parallelogram if both pairs of opposite angles are equal.…In quadrilateral ABCD, side AB is parallel to side DC and AB = DC. Then ABCD is a:In a quadrilateral the diagonals bisect each other at point O. If OA = 5 cm, then OC…