Which of the following statements is incorrect?
(A) Every parallelogram is a quadrilateral.
(B) Every rectangle is a parallelogram.
(C) Every square is a rectangle.
(D) Every trapezium is a parallelogram.
Which of the following statements is incorrect?
(A) Every parallelogram is a quadrilateral.
(B) Every rectangle is a parallelogram.
(C) Every square is a rectangle.
(D) Every trapezium is a parallelogram.
The correct option is B D
(A) A parallelogram is a closed figure with no overlapping sides. So it's a quadrilateral.
(B) Every rectangle is a parallelogram because a rectangle has parallel pair of sides and mutually bisecting diagonals like a parallelogram.
(C) Square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles.
(D) Every trapezium is not a parallelogram, because in a trapezium only one pair of sides is parallel to each other. So it is incorrect.
(A) A parallelogram is a closed figure with no overlapping sides. So it's a quadrilateral.
(B) Every rectangle is a parallelogram because a rectangle has parallel pair of sides and mutually bisecting diagonals like a parallelogram.
(C) Square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles.
(D) Every trapezium is not a parallelogram, because in a trapezium only one pair of sides is parallel to each other. So it is incorrect.
