Quadrilaterals

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Q. If a quadrilateral has one pair of parallel sides, it is classified as which type? (2023)
  • A. Parallelogram
  • B. Trapezium
  • C. Rectangle
  • D. Rhombus
Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), what do d1 and d2 represent? (2023)
  • A. The lengths of the sides.
  • B. The lengths of the diagonals.
  • C. The lengths of the altitudes.
  • D. The lengths of the bases.
Q. If the diagonals of a quadrilateral bisect each other, which of the following can be concluded? (2023)
  • A. The quadrilateral is a rectangle.
  • B. The quadrilateral is a rhombus.
  • C. The quadrilateral is a parallelogram.
  • D. The quadrilateral is a trapezium.
Q. If the lengths of the diagonals of a rhombus are 10 cm and 24 cm, what is the area of the rhombus?
  • A. 120 cm²
  • B. 240 cm²
  • C. 60 cm²
  • D. 300 cm²
Q. In a cyclic quadrilateral, the opposite angles are related in which way? (2023)
  • A. They are equal.
  • B. They are supplementary.
  • C. They are complementary.
  • D. They are independent.
Q. In a parallelogram, if one angle measures 60 degrees, what is the measure of the opposite angle?
  • A. 60 degrees
  • B. 120 degrees
  • C. 90 degrees
  • D. 180 degrees
Q. In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?
  • A. C and D must be 100 degrees
  • B. C and D must be 180 degrees
  • C. C and D must be 90 degrees
  • D. C and D must be 360 degrees
Q. In a quadrilateral ABCD, if angle A is 90 degrees and angle B is 45 degrees, what can be inferred about the other angles? (2023)
  • A. Angle C is 45 degrees and angle D is 90 degrees.
  • B. Angle C is 90 degrees and angle D is 45 degrees.
  • C. Angle C is 135 degrees and angle D is 135 degrees.
  • D. Angle C is 180 degrees and angle D is 0 degrees.
Q. In a rectangle, which of the following is true about the diagonals? (2023)
  • A. They are perpendicular.
  • B. They are equal and bisect each other.
  • C. They are unequal.
  • D. They do not bisect each other.
Q. What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0,3)?
  • A. 12 square units
  • B. 10 square units
  • C. 15 square units
  • D. 20 square units
Q. What is the sum of the interior angles of a quadrilateral? (2023)
  • A. 180 degrees
  • B. 360 degrees
  • C. 540 degrees
  • D. 720 degrees
Q. Which of the following is NOT a property of a square?
  • A. All sides are equal
  • B. Diagonals bisect each other
  • C. Diagonals are equal in length
  • D. All angles are acute
Q. Which of the following quadrilaterals has all sides equal and opposite angles equal?
  • A. Square
  • B. Rectangle
  • C. Trapezium
  • D. Rhombus
Q. Which of the following quadrilaterals has the property that its diagonals are equal in length? (2023)
  • A. Square
  • B. Rhombus
  • C. Trapezium
  • D. Kite
Q. Which of the following statements about a parallelogram is true? (2023)
  • A. All sides are equal.
  • B. Diagonals bisect each other.
  • C. All angles are right angles.
  • D. It has exactly one pair of parallel sides.
Q. Which of the following statements about a rectangle is true?
  • A. All sides are equal
  • B. Opposite sides are equal and all angles are 90 degrees
  • C. Diagonals are perpendicular
  • D. Only one pair of opposite sides is equal
Q. Which quadrilateral has all sides equal but angles not necessarily equal? (2023)
  • A. Square
  • B. Rectangle
  • C. Rhombus
  • D. Trapezium
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