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Three vertices of parallelogram ABCD are A(1, 2), B(4, 3) and C(6, 6). Find the fourth vertex D.

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates
  • A(3, 5)
  • B(9, 7)
  • C(−1, −1)
  • D(5, 3)

Step-by-Step Solution

Diagonals of a parallelogram bisect each other, so A + C = B + D: D = (1 + 6 − 4, 2 + 6 − 3) = (3, 5). (9, 7) and (−1, −1) complete parallelograms with a different order of vertices.
Answer: A) (3, 5)

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