Answer:
The quadrilateral that does not belong to any of the given group is:
Trapezoid.
Step-by-step explanation:
Parallelogram--
In Euclidean Geometry, a parallelogram is a quadrilateral with a pair of a parallel sides.
i.e. The facing side or the opposite sides of the parallelogram are of equal measure.
The examples of parallelogram are:
Square, Rectangle, Rhombus etc.
Trapezoid--
A trapezoid is a quadrilateral which has only one pair of parallel sides.
You can use the fact that a square is a rectangle and a parallelogram and a quadrilateral, and a rectangle is a parallelogram and a quadrilateral, a parallelogram is a quadrilateral.
The drawn shape(attached below) is not any of the group of parallelogram, square and rectangles because its opposite sides are not parallel. It is a trapezoid.
Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
That rectangle whose all sides are equal is called a square.
A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).
Using above conclusion to form a shape which is not a parallelogram or rectangle or square:
Since square is a rectangle and both square and rectangle are parallelogram, thus, if we draw a quadrilateral which is not a parallelogram then it won't be a square or rectangle either.
A quadrilateral whose opposite sides are not parallel is not a parallelogram. Thus, the drawn quadrilateral is given below.
Its one pair of opposite sides are parallel but one pair isn't. Thus, not a parallelogram, not a rectangle, not a square. Only a quadrilateral.(specifically, its a trapezoid since a trapezoid is a quadrilateral with at least one pair of opposite sides parallel).
Learn more about quadrilaterals here:
https://brainly.com/question/1365755
