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A(1, 1), B(6, 1) and C(8, 4) are three vertices of parallelogram ABCD. Find D.

Class 9Figures on the Coordinate PlaneCoordinate Geometry
  • A(4, 3)
  • B(13, 4)
  • C(1, 4)
  • D(3, 4)

Step-by-Step Solution

DC must be equal and parallel to AB, which is 5 units to the right. So D is 5 units to the left of C: (8 − 5, 4) = (3, 4). (1, 4) would make a trapezium, not a parallelogram.
Answer: D) (3, 4)

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