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A(0, 0), B(6, 0), C(6, 4), D(0, 4) is a rectangle. P, Q, R, S are the midpoints of AB, BC, CD, DA. Quadrilateral PQRS is a:

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates
  • ASquare
  • BRectangle
  • CRhombus
  • DTrapezium

Step-by-Step Solution

P(3, 0), Q(6, 2), R(3, 4), S(0, 2). Each side = . Diagonals PR = 4 and QS = 6 are unequal, so PQRS is a rhombus, not a square.
Answer: C) Rhombus

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