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Two lines AB and CD are drawn so that they are equal and parallel, with A above C and B above D.
The ends are joined to form quadrilateral ACDB taken in order A, C, D, B.
Which figure results and by what condition?

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • AA parallelogram, since AB and CD are equal and parallel opposite sides
  • BA trapezium only
  • CA rectangle always
  • DA kite

Step-by-Step Solution

AB and CD form one pair of opposite sides that are equal and parallel, so ACDB is a parallelogram.
Answer: A) A parallelogram, since AB and CD are equal and parallel opposite sides

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