Quadrilaterals and Polygons - Proof-based Questions

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Q. If a quadrilateral has two pairs of opposite sides that are equal, what can be concluded about the quadrilateral?
  • A. It is a rectangle
  • B. It is a rhombus
  • C. It is a parallelogram
  • D. It is a trapezoid
Q. If a quadrilateral is a kite, what can be said about its diagonals?
  • A. They are equal
  • B. They bisect each other
  • C. One diagonal bisects the other
  • D. They are perpendicular
Q. If a quadrilateral is a rectangle, what can be said about its diagonals?
  • A. They are equal and bisect each other
  • B. They are unequal
  • C. They are perpendicular
  • D. They are parallel
Q. In a rhombus, if one angle measures 60 degrees, what is the measure of the adjacent angle?
  • A. 120 degrees
  • B. 60 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a trapezoid, if the lengths of the bases are 10 cm and 6 cm, what is the average length of the bases?
  • A. 8 cm
  • B. 7 cm
  • C. 6 cm
  • D. 9 cm
Q. In a trapezoid, if the lengths of the bases are 10 cm and 6 cm, what is the length of the midsegment?
  • A. 8 cm
  • B. 7 cm
  • C. 9 cm
  • D. 6 cm
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