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Arjun finds that the quadrilateral (4, 5), (7, 6), (4, 3), (1, 2) has opposite sides equal and calls it a rectangle. What is wrong?

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates
  • AIt is a square, not a rectangle
  • BIts diagonals are unequal, so it is only a parallelogram
  • CIts opposite sides are actually unequal
  • DNothing; it is a rectangle

Step-by-Step Solution

Sides: (opposite sides equal). Diagonals: (4, 5) to (4, 3) is 2, (7, 6) to (1, 2) is . A rectangle needs equal diagonals, so this is a parallelogram only.
Answer: B) Its diagonals are unequal, so it is only a parallelogram

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