Q. Which of the following quadrilaterals has one pair of parallel sides?
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A.
Square
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B.
Rectangle
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C.
Trapezium
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D.
Rhombus
Solution
A trapezium is defined as a quadrilateral with at least one pair of parallel sides.
Correct Answer:
C
— Trapezium
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Q. Which of the following quadrilaterals has opposite sides that are both equal and parallel?
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A.
Trapezium
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B.
Parallelogram
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C.
Kite
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D.
Rhombus
Solution
A parallelogram is defined as a quadrilateral with opposite sides that are both equal and parallel.
Correct Answer:
B
— Parallelogram
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Q. Which of the following quadrilaterals has opposite sides that are equal and parallel?
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A.
Trapezium
-
B.
Rhombus
-
C.
Kite
-
D.
Scalene
Solution
A rhombus has opposite sides that are equal and parallel, making it a special type of parallelogram.
Correct Answer:
B
— Rhombus
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Q. Which of the following quadrilaterals has the property that its diagonals are equal in length? (2023)
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A.
Square
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B.
Rhombus
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C.
Trapezium
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D.
Kite
Solution
A square has equal diagonals, which is a property of squares and rectangles.
Correct Answer:
A
— Square
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Q. Which of the following statements about a kite is true?
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A.
All sides are equal.
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B.
Diagonals are equal.
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C.
One pair of opposite angles are equal.
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D.
It is a type of parallelogram.
Solution
In a kite, one pair of opposite angles are equal, while the other properties do not hold true.
Correct Answer:
C
— One pair of opposite angles are equal.
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Q. Which of the following statements about a parallelogram is true? (2023)
-
A.
All sides are equal.
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B.
Diagonals bisect each other.
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C.
All angles are right angles.
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D.
It has exactly one pair of parallel sides.
Solution
In a parallelogram, the diagonals bisect each other, which is a defining property of parallelograms.
Correct Answer:
B
— Diagonals bisect each other.
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Q. Which of the following statements about a rectangle is false?
-
A.
All angles are right angles.
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B.
Opposite sides are equal.
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C.
Diagonals are equal and bisect each other.
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D.
All sides are equal.
Solution
In a rectangle, all angles are right angles and opposite sides are equal, but not all sides are equal.
Correct Answer:
D
— All sides are equal.
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Q. Which of the following statements about a rectangle is true?
-
A.
All sides are equal
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B.
Opposite sides are equal and all angles are 90 degrees
-
C.
Diagonals are perpendicular
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D.
Only one pair of opposite sides is equal
Solution
In a rectangle, opposite sides are equal and all angles are indeed 90 degrees.
Correct Answer:
B
— Opposite sides are equal and all angles are 90 degrees
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Q. Which of the following statements about a rhombus is false?
-
A.
All sides are equal.
-
B.
Opposite angles are equal.
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C.
Diagonals bisect each other at right angles.
-
D.
All angles are right angles.
Solution
In a rhombus, while all sides are equal and diagonals bisect at right angles, not all angles are right angles.
Correct Answer:
D
— All angles are right angles.
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Q. Which of the following statements about a rhombus is incorrect?
-
A.
All sides are equal.
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B.
Diagonals bisect each other at right angles.
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C.
Diagonals are equal in length.
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D.
Opposite angles are equal.
Solution
In a rhombus, while all sides are equal and diagonals bisect each other at right angles, the diagonals are not equal in length.
Correct Answer:
C
— Diagonals are equal in length.
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Q. Which of the following statements about a square is false?
-
A.
All sides are equal.
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B.
All angles are right angles.
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C.
Diagonals are equal and bisect each other.
-
D.
Diagonals are perpendicular to each other.
Solution
While the diagonals of a square are equal and bisect each other, they are not necessarily perpendicular to each other in all quadrilaterals.
Correct Answer:
D
— Diagonals are perpendicular to each other.
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Q. Which quadrilateral has all sides equal but angles not necessarily equal? (2023)
-
A.
Square
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B.
Rectangle
-
C.
Rhombus
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D.
Trapezium
Solution
A rhombus has all sides equal, but the angles are not necessarily equal.
Correct Answer:
C
— Rhombus
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Q. Which quadrilateral has diagonals that are not equal and do not bisect each other?
-
A.
Rectangle
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B.
Square
-
C.
Kite
-
D.
Trapezium
Solution
In a trapezium, the diagonals are not equal and do not bisect each other.
Correct Answer:
D
— Trapezium
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Q. Which quadrilateral has diagonals that are perpendicular bisectors of each other?
-
A.
Rectangle
-
B.
Parallelogram
-
C.
Rhombus
-
D.
Trapezium
Solution
In a rhombus, the diagonals are perpendicular bisectors of each other.
Correct Answer:
C
— Rhombus
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Q. Which quadrilateral has two pairs of adjacent sides that are equal?
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A.
Rectangle
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B.
Square
-
C.
Kite
-
D.
Trapezium
Solution
A kite has two pairs of adjacent sides that are equal.
Correct Answer:
C
— Kite
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