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Points A(1, 2), B(7, 2), C(7, 6), D(1, 6) form a rectangle. Let P, Q, R, S be the midpoints of AB, BC, CD, DA. The quadrilateral PQRS formed is a:

Class 10Midpoint ApplicationsGeometry — Coordinates
  • Arhombus
  • Bsquare
  • Ctrapezium
  • Drectangle

Step-by-Step Solution

P(4, 2), Q(7, 4), R(4, 6), S(1, 4). Each side is , so all four sides are equal. The diagonals PR = 4 and QS = 6 are unequal, so it is not a square: PQRS is a rhombus.
Answer: A) rhombus

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