Mathematics
Grade9
Easy

Question

The given polygon is called a ___________.

  1. Rectangle
  2. Quadrilateral
  3. Parallelogram 
  4. Square

hintHint:

Polygon is a two- dimensional closed figure which is consist of three or more-line segments. Each polygon has different properties. One of the polygons is quadrilateral. Quadrilateral is a four-sided polygon with four angles and the sum of all angles of a quadrilateral is 360 degree . Here, we have to find the shape of the given quadrilateral using the properties of the quadrilateral.

The correct answer is: Parallelogram


    In the question there is a figure using which we have to identify the polygon.
    From the given figure we can say that,
    It is a quadrilateral as it has 4 sides.
    The opposite sides and angles of the quadrilateral are equal.
    The opposite sides are parallel to each other.
    The quadrilateral whose opposite sides are equal and parallel is called a parallelogram.
    So, the polygon given in the question is a parallelogram.
    Therefore, the correct option is c, i.e., parallelogram.

    Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is 360 degree and sum of two consecutive angles is 180 degree . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

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