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A(2, 3), B(6, 7), C(8, 3), D(4, -1) are vertices of a parallelogram in order. Verify by checking that diagonals AC and BD share the same midpoint, and state that midpoint.

Class 10Midpoint ApplicationsGeometry — Coordinates
  • A(5, 3)
  • B(6, 5)
  • C(5, 5)
  • D(4, 3)

Step-by-Step Solution

Midpoint AC = ((2+8)/2,(3+3)/2)=(5,3); midpoint BD = ((6+4)/2,(7-1)/2)=(5,3). Equal, so it is a parallelogram with midpoint (5,3).
Answer: A) (5, 3)

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